Saharon Shelah

Q: What Schools Are Affiliated With Saharon Shelah

Saharon Shelah is affiliated with the following schools: Hebrew University of Jerusalem, University of Michigan, TU Wien, Rutgers University

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Mathematics

#60

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#178

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Set Theory

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Measure Theory

#47

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#76

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Mathematics

Why Is Saharon Shelah Influential?

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According to Wikipedia, Saharon Shelah is an Israeli mathematician. He is a professor of mathematics at the Hebrew University of Jerusalem and Rutgers University in New Jersey. Biography Shelah was born in Jerusalem on July 3, 1945. He is the son of the Israeli poet and political activist Yonatan Ratosh. He received his PhD for his work on stable theories in 1969 from the Hebrew University.

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Saharon Shelah's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Annals of Pure and Applied Logic (1991) (1549)
On the temporal analysis of fairness (1980) (773)
Proper and Improper Forcing (1998) (577)
A combinatorial problem; stability and order for models and theories in infinitary languages. (1972) (546)
The monadic theory of order (1975) (327)
Martin's Maximum, saturated ideals and non-regular ultrafilters. Part II (1988) (310)
Can you take Solovay’s inaccessible away? (1984) (304)
Proper Forcing (2001) (297)
Fixed-point extensions of first-order logic (1985) (294)
Classification theory - and the number of non-isomorphic models, Second Edition (1990) (235)
Infinite abelian groups, whitehead problem and some constructions (1974) (225)
A weak version of ◊ which follows from 2ℵ0<2ℵ1 (1978) (213)
Zero-one laws for sparse random graphs (1988) (212)
Primitive recursive bounds for van der Waerden numbers (1988) (204)
Simple unstable theories (1980) (201)
Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory (1971) (185)
Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory (1971) (185)
A compactness theorem for singular cardinals, free algebras, Whitehead problem and tranversals (1975) (178)
The Small Index Property for ω‐Stable (ω‐Categorical Structures and for the Random Graph (1993) (155)
Expected Computation Time for Hamiltonian Path Problem (1987) (154)
Reasoning with Time and Chance (1982) (153)
Classification of non elementary classes II abstract elementary classes (1987) (152)
Every two elementarily equivalent models have isomorphic ultrapowers (1971) (144)
Categoricity for Abstract Classes with Amalgamation (1998) (143)
Finite diagrams stable in power (1970) (139)
Classification theory for non-elementary classes I: The number of uncountable models ofψ ∈Lω_1, ω. Part A (1983) (134)
On a Problem of Kurosh, Jonsson Groups, and Applications (1980) (131)
Reflecting stationary sets and successors of singular cardinals (1991) (130)
Dependent first order theories, continued (2004) (127)
Some exact equiconsistency results in set theory (1985) (122)
Choiceless Polynomial Time (1997) (119)
There may be simple Paleph1 and Paleph2-points and the Rudin-Keisler ordering may be downward directed (1987) (118)
Advances in Cardinal Arithmetic (2007) (118)
Strongly dependent theories (2005) (114)
Toward Classifying Unstable Theories (1995) (109)
A weak generalization of MA to higher cardinals (1978) (104)
On certain indestructibility of strong cardinals and a question of Hajnal (1989) (104)
Norms on Possibilities I: Forcing With Trees and Creatures (1998) (103)
Whitehead groups may be not free, even assuming CH, I (1977) (102)
The generalized continuum hypothesis revisited (1998) (101)
Whitehead groups may not be free even assuming ch, II (1980) (97)
Forcing closed unbounded sets (1983) (95)
Nearly Linear Time (1989) (95)
Black Boxes (2008) (94)
On the consistency of some partition theorems for continuous colorings, and the structure of aleph1-dense real order types (1985) (94)
Subgroups of small index in infinite symmetric groups. II (1986) (94)
ON WHAT I DO NOT UNDERSTAND (AND HAVE SOMETHING TO SAY), MODEL THEORY (1999) (94)
Remarks on superatomic boolean algebras (1987) (93)
When does almost free imply free? (For groups, transversals, etc.) (1994) (91)
On Successors of Singular Cardinals (1979) (91)
Categoricity of an abstract elementary class in two successive cardinals (1998) (90)
Generalized quantifiers and compact logic (1975) (90)
Nonexistence of universal orders in many cardinals (1992) (89)
On the Temporal Basis of Fairness. (1980) (86)
Universal Graphs with Forbidden Subgraphs and Algebraic Closure (1998) (85)
Cardinal Invariants Above the Continuum (1995) (82)
Toward Categoricity for Classes with no Maximal Models (1997) (82)
The tree property at successors of singular cardinals (1995) (81)
Classification Theory for Abstract Elementary Classes (2009) (80)
Superstable fields and groups (1980) (80)
Regularity lemmas for stable graphs (2011) (79)
The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing) (1990) (79)
Second-order quantifiers and the complexity of theories (1985) (78)
PFA implies all automorphisms are trivial (1988) (78)
The bounded proper forcing axiom (1995) (78)
Cofinality spectrum theorems in model theory, set theory and general topology (2012) (77)
On cardinal invariants of the continuum (1984) (77)
On the strong equality between supercompactness and strong compactness (1995) (74)
The undecidability of the recursively enumerable degrees (1982) (74)
Categoricity overP for first orderT or categoricity forϕ ∈Lω1ω can stop at ℵk while holding for ℵ0, ..., ℵk−1 (1990) (71)
Two cardinal invariants of the continuum (∂ (2004) (71)
Further cardinal arithmetic (1996) (70)
Isomorphism types of Aronszajn trees (1985) (68)
Ultrafilters with small generating sets (1989) (68)
Modest theory of short chains. I (1979) (68)
δ-Logics and generalized quantifiers (1976) (67)
Large cardinals imply that every reasonably definable set of reals is lebesgue measurable (1990) (67)
On what I do not understand (and have something to say): Part I (1999) (65)
Separability properties of almost — disjoint families of sets (1972) (65)
Martin’s axiom does not imply that every two ℕ1-dense sets of reals are isomorphic (1981) (64)
Definability by Constant-Depth Polynomial-Size Circuits (1986) (64)
On ⊳ * -maximality (2003) (64)
Rabin's uniformization problem (1983) (64)
Randomness and semigenericity (1996) (63)
Models with second order properties II. Trees with no undefined branches (1978) (63)
On polynomial time computation over unordered structures (2001) (63)
A proof of vaught’s conjecture forω-stable theories (1984) (62)
Classification theory for non-elementary classes I: The number of uncountable models of $$\psi \in L_{w_1 ,w} $$ . Part B. Part B (1983) (62)
Minimal bounded index subgroup for dependent theories (2006) (61)
Vive la Différence I: Nonisomorphism of Ultrapowers of Countable Models (1991) (61)
On the Consistency of Some Partition Theorems for Continuous Colorings, and the Structure of ℵ 1 -Dense Real Order Types (2002) (60)
A definable nonstandard model of the reals (2003) (59)
Incompactness in regular cardinals (1985) (59)
On finite rigid structures (1994) (57)
CLASSIFICATION THEORY FOR ELEMENTARY CLASSES WITH THE DEPENDENCE PROPERTY-A MODEST BEGINNING (2004) (57)
Can the fundamental (homotopy) group of a space be the rationals (1988) (56)
The number of non-isomorphic models of an unstable first-order theory (1971) (56)
The decision problem for branching time logic (1985) (56)
Strong Splitting in Stable Homogeneous Models (1999) (55)
COTORSION THEORIES AND SPLITTERS (1999) (55)
On random models of finite power and monadic logic (1985) (55)
Forcings with ideals and simple forcing notions (1989) (54)
Models with second order properties. III. Omitting types forL(Q) (1981) (53)
Cardinal arithmetic for skeptics (1992) (53)
Exponentiation in power series fields (1996) (52)
Decomposing Uncountable Squares to Countably Many Chains (1976) (52)
Around classification theory of models (1986) (52)
Many simple cardinal invariants (1992) (52)
Categoricity in abstract elementary classes: going up inductive step (2000) (52)
Chang’s conjecture for ℵω (1990) (51)
Near Coherence of Filters III: A Simplified Consistency Proof (1989) (51)
Sacks forcing, Laver forcing, and Martin's axiom (1992) (51)
On Whitehead modules (1991) (51)
Non-forking frames in abstract elementary classes (2013) (50)
Asymptotic cones of finitely presented groups (2003) (50)
Examples of non-locality (2008) (50)
Souslin forcing (1988) (49)
On universal locally finite groups (1983) (47)
Categoricity of theories in L ? * , ? , when ? * is a measurable cardinal (2001) (47)
On universal graphs without instances of CH (1984) (47)
Uncountable constructions for B.A. e.c. groups and banach spaces (1985) (47)
Was sierpinski right? I (1988) (46)
Counting Equivalence Classes For Co-κ-Souslin Equivalence Relations (1982) (46)
Baer modules over domains (1990) (46)
Splitting strongly almost disjoint families (1986) (45)
Categoricity in ℵ1 of sentences in $$L_{\omega _1 ,\omega } (Q)$$ (1975) (45)
Existence of many L∞, λ-equivalent, non- isomorphic models of T of power λ (1987) (45)
Classification of first order theories which have a structure theorem (1985) (45)
Categoricity of Uncountable Theories (1981) (44)
Sticks and Clubs (1997) (44)
The Cichoń diagram (1993) (43)
Axiom of choice and chromatic number of the plane (2003) (43)
On squares, outside guessing of clubs and I_{ (1995) (42)
Uncountable universal locally finite groups (1976) (42)
On strong measure zero subsets of $^{κ}2$ (2001) (41)
The monadic theory of ω2 (1983) (41)
Uniqueness and characterization of prime models over sets for totally transcendental first-order theories (1972) (41)
ULTRAFILTERS ON ! —THEIR IDEALS AND THEIR CARDINAL CHARACTERISTICS (1997) (41)
Applications of PCF theory (2000) (40)
On tree ideals (1993) (40)
Universal graphs without instances of CH: Revisited (1990) (40)
Borel sets with large squares (1998) (40)
Monadic theory of order and topology in ZFC (1982) (40)
Better quasi-orders for uncountable cardinals (1982) (40)
Constructions of many complicated uncountable structures and Boolean algebras (1983) (39)
Combinatorial problems on trees: Partitions, δ-systems and large free subtrees (1987) (39)
Less saturated ideals (1997) (39)
A Banach space on which there are few operators (1988) (38)
Covering of the null ideal may have countable cofinality (1998) (38)
Categoricity of Theories in Lk omega, with k a Compact Ordinal (1990) (38)
Delta12-Sets of Reals (1989) (38)
Semiproper forcing axiom implies Martin maximum but not PFA+ (1987) (38)
A Combinatorial Theorem and Endomorphism Rings of Abelian Groups II (1984) (38)
First order theory of permutation groups (1973) (38)
The consistency strength of “every stationary set reflects” (1989) (38)
Independence results (1980) (37)
ON THE LATTICE OF COTORSION THEORIES (2001) (37)
Kaplansky’s problem on valuation rings (1989) (37)
Independence of strong partition relation for small cardinals, and the free-subset problem (1980) (37)
Dependent theories and the generic pair conjecture (2007) (37)
Ramsey Ultrafilters and the Reaping Number - Con(r (1990) (37)
The structure of ext (A,ℤ) andV=L (1978) (36)
The Universality Spectrum : Consistency for more Classes (1994) (36)
The consistency of Ext(G, Z)=Q (1981) (36)
A Banach space with few operators (1978) (36)
Universal graphs at the successor of a singular cardinal (2001) (36)
Strong measure zero sets without Cohen reals (1993) (35)
Nonconvergence, undecidability, and intractability in asymptotic problems (1987) (35)
Additivity properties of topological diagonalizations (2001) (35)
On endo-rigid, strongly ℵ1-free abelian groups in ℵ1 (1981) (35)
Indecomposable Almost Free Modules—The Local Case (1998) (35)
A Tribute to Paul Erdős: Graphs with no unfriendly partitions (1990) (35)
Models with second order properties IV. A general method and eliminating diamonds (1983) (34)
More on cardinal arithmetic (1993) (34)
There May Be No Nowhere Dense Ultrafilter (1996) (34)
How special are Cohen and random forcings, i.e. boolean algebras of the family of subsets of reals modulo meagre or null (1993) (34)
Products of regular cardinals and cardinal invariants of products of Boolean algebras (1990) (34)
Uniformization and skolem functions in the class of trees (1994) (34)
Special subsets of cf(μ)μ, Boolean algebras and Maharam measure algebras☆ (1999) (34)
The spectrum problem I: ℵɛ-satuarted models, the main gap (1982) (34)
On the number of nonisomorphic models of an infinitary theory which has the infinitary order property. Part A (1986) (34)
S-forcing, I. A “black-box” theorem for morasses, with applications to super-Souslin trees (1982) (34)
More on SOP1 and SOP2 (2008) (33)
THE SINGULAR CARDINALS PROBLEM; INDEPENDENCE RESULTS (1983) (33)
Semi-rigid classes of cotorsion-free abelian groups (1985) (33)
Consistency of positive partition theorems for graphs and models (1989) (33)
On the -condition (1984) (33)
Critical Cardinalities and Additivity Properties of Combinatorial Notions of Smallness (2003) (33)
Existence of optimal ultrafilters and the fundamental complexity of simple theories (2014) (32)
Strong Partition Realations Below the Power Set: Consistency Was Sierpinski Right? II. (1991) (32)
Partial Orderings with the Weak Freese-Nation Property (1995) (32)
Logical Dreams (2002) (32)
Souslin Properties and Tree Topologies (1979) (32)
Interpreting Groups and Fields in some Nonelementary Classes (2004) (32)
A theorem and some consistency results in partition calculus (1987) (32)
A Dichotomy for the number of Ultrapowers (2009) (32)
Weakly compact cardinals and nonspecial Aronszajn trees (1988) (32)
On the existence of universal models (1998) (31)
Definable groups for dependent and 2-dependent theories (2007) (31)
Remarks on Boolean algebras (1980) (31)
Properness Without Elementaricity (2004) (31)
Keisler’s order has infinitely many classes (2015) (31)
An Efimov space from Martin's Axiom (2013) (31)
On weak and strong interpolation in algebraic logics (2006) (31)
Stationary logic and its friends. II (1985) (31)
The Universality Spectrum of Stable Unsuperstable Theories (1992) (31)
The strict order property and generic automorphisms (2000) (31)
More on the revised GCH and the black box (2006) (31)
Closed Measure Zero Sets (1992) (30)
A non structure theorem for an infinitary theory which has the unsuperstability property (1986) (30)
A Dividing Line Within Simple Unstable Theories (2012) (30)
The Kaplansky test problems for ℵ₁-separable groups (1998) (30)
Banach spaces and groups — Order properties and universal models (2003) (30)
The Borel Conjecture (1990) (30)
Whitehead Modules over Domains (1989) (30)
Generalized Martin’s Axiom and Souslin’s hypothesis for higher cardinals (1982) (30)
Consequences of arithmetic for set theory (1993) (29)
On power-like models for hyperinaccessible cardinals (1972) (29)
The distributivity numbers of ()/fin and its square (1999) (29)
More on Simple Forcing Notions and Forcings with Ideals (1993) (29)
A combinatorial principle and endomorphism rings I: Onp-groups (1984) (29)
Menas’ Result is Best Possible (1995) (29)
RIGIDITY OF CONTINUOUS QUOTIENTS (2014) (29)
A Note on the Normal Moore Space Conjecture (1979) (28)
Radicals and Plotkin’s problem concerning geometrically equivalent groups (2000) (28)
Singular cohomology inL (1977) (28)
Iterated forcing and normal ideals onω1 (1987) (28)
Norms on Possibilities II: More CCC Ideals on 2 ω (1997) (28)
A General Criterion for the Existence of Transversals (1983) (28)
Evasion and prediction II (1994) (28)
Diamonds, uniformization (1984) (28)
Notes on combinatorial set theory (1973) (28)
The theorems of Beth and Craig in abstract model theory. I. The abstract setting (1979) (28)
End extensions and numbers of countable models (1978) (27)
The Ehrenfeucht-Fraïssé-game of length ₁ (1993) (27)
Colouring and Non-Productivity of aleph2-C.C (1996) (27)
Infinite games and reduced products (1981) (27)
Spectra of monadic second-order formulas with one unary function (2003) (27)
Non-trivial homeomorphisms of βN\N without the continuum hypothesis (1989) (27)
On the existence of atomic models (1993) (27)
On the structure of Extp(G, Z) (1989) (27)
Decisive creatures and large continuum (2006) (27)
Almost free splitters (1999) (27)
A note on cardinal exponentiation (1980) (27)
Continuous images of sets of reals (2000) (27)
CONSTRUCTING REGULAR ULTRAFILTERS FROM A MODEL-THEORETIC POINT OF VIEW (2012) (27)
On the Structure of $\operatorname{Ext}(A, \mathbf{Z})$ in ZFC$^+$ (1985) (27)
Set theory without choice: not everything on cofinality is possible (1995) (27)
Partition calculus and cardinal invariants (2011) (27)
Jonsson algebras in successor cardinals (1978) (27)
On uncountable abelian groups (1979) (27)
On Co-κ-souslin relations (1984) (26)
Full reflection of stationary sets below ℵω (1990) (26)
Saturated Filters at Successors of Singulars, Weak Reflection and Yet Another Weak Club Principle (1996) (26)
On densities of box products (1996) (26)
Combinatorial Properties of Hechler Forcing (1992) (26)
Clones on regular cardinals (2000) (26)
Infinite products of finite simple groups (1996) (26)
Similar but not the same: various versions of ♣ do not coincide (1999) (26)
Constructing strongly equivalent nonisomorphic models for unsuperstable theories, Part A (1992) (26)
The ℵ₂-Souslin hypothesis (1981) (26)
π(X) = δ(X) for compact X (1989) (26)
Universal abelian groups (1994) (26)
A Delta22 Well-Order of the Reals and Incompactness of L(QMM) (1993) (26)
Models with Second Order Properties V: A General Principle (1993) (26)
Martin's axioms, measurability and equiconsistency results (1989) (25)
Lifting problem of the measure algebra (1983) (25)
Dependent dreams: recounting types (2012) (25)
κ-bounded Exponential-Logarithmic Power Series Fields ∗ (2004) (25)
Models with second order properties I. Boolean algebras with no definable automorphisms (1978) (25)
Successors of singular cardinals and coloring theorems I (1998) (25)
On the order of countable graphs (2003) (25)
Some Counterexamples in the Partition Calculus (1973) (25)
A framework for forcing constructions at successors of singular cardinals (2014) (25)
Universal Graphs without Large Cliques (1993) (24)
Squares with diamonds and Souslin trees with special squares (1987) (24)
The distributivity numbers of finite products of P(ω)/fin (1998) (24)
The amalgamation spectrum (2009) (24)
On the cardinality of ultraproduct of finite sets (1970) (24)
Closed subgroups of the infinite symmetric group (2004) (24)
More on real-valued measurable cardinals and forcing with ideals (1995) (24)
On the Complexity of the Elzinga-Hearn Algorithm for the 1-Center Problem (1987) (24)
On kernels of cellular covers (2007) (24)
Decidability of a portion of the predicate calculus (1977) (24)
On power of singular cardinals (1986) (24)
On lhd*-maximality (2004) (24)
Existence of almost free abelian groups and reflection of stationary set (1996) (24)
Sheva-sheva-sheva: Large creatures (2002) (24)
Masas in the Calkin algebra without the Continuum Hypothesis (2011) (24)
The ultrafilter number for singular cardinals (2012) (23)
Two cardinal compactness (1971) (23)
Martin’s Axiom is consistent with the existence of nowhere trivial automorphisms (2000) (23)
Erdos and Rényi Conjecture (1998) (23)
MAD Saturated Families and SANE Player (2011) (23)
If there is an exactly λ-free abelian group then there is an exactly λ-separable one in λ (1996) (23)
$$L_{\infty _\omega }$$ free algebras (1989) (23)
PCF and infinite free subsets in an algebra (2002) (23)
Borel Partitions of Infinite Subtrees of a Perfect Tree (1993) (23)
On the intersection of closed unbounded sets (1986) (23)
A strong polarized relation (2011) (23)
A ZFC Dowker space in ℵ_{+1}: An application of pcf theory to topology (1998) (22)
Ultrafilters on $\omega$-their ideals and their cardinal characteristics (1997) (22)
Reflection implies the SCH (2004) (22)
UNORDERED TYPES OF ULTRAFILTERS (1978) (22)
Bousfield localization as an algebraic closure of groups (1989) (22)
Interpreting set theory in the endomorphism semi-group of a free algebra or in a category (1976) (22)
The Future of Set Theory (2002) (22)
Canonical Models for N1-Combinatorics (1999) (22)
On uncountable Boolean algebras with no uncountable pairwise comparable or incomparable sets of elements (1981) (22)
Large localizations of finite simple groups (1999) (22)
On models with power-like orderings (1972) (22)
On the elementary equivalence of automorphism groups of Boolean algebras; downward Skolem Löwenheim theorems and compactness of related quantifiers (1980) (22)
On the Existence of Rigid ℵ1-Free Abelian Groups of Cardinality ℵ1 (2001) (22)
Remarks in abstract model theory (1985) (22)
Two inequalities between cardinal invariants (2015) (22)
Axiom of choice and chromatic number: examples on the plane (2004) (21)
Positive results in abstract model theory: a theory of compact logics (1983) (21)
A Dichotomy Theorem for Regular Types (1989) (21)
The structure of Ext(A, Z) and GCH: possible co-Moore spaces (2003) (21)
The Odd-Distance Plane Graph (2009) (21)
Some Nasty reflexive groups (2000) (21)
The left side of Cichoń’s diagram (2015) (21)
Decompositions of reflexive modules (2000) (21)
Cichoń's maximum (2017) (21)
SUCCESSOR OF SINGULARS: COMBINATORICS AND NOT COLLAPSING CARDINALS ≤ κ IN (< κ)-SUPPORT ITERATIONS SH667 (2003) (21)
Interpreting second-order logic in the monadic theory of order (1983) (21)
On the Existence of Regular Types (1989) (21)
More on countably compact, locally countable spaces (1988) (21)
Pcf theory and Woodin cardinals (2002) (21)
Cofinality of normal ideals onPκ(λ) II (2005) (21)
A non-reflexive Whitehead group (1999) (21)
Q-sets, Sierpinski sets, and rapid filters (1991) (21)
A model with no magic set (1999) (21)
Successor of singulars: Combinatorics and not collapsing cardinals ≤gk in ( (2003) (20)
Superdestructibility: A dual to Laver's indestructibility (1996) (20)
Possibly every real function is continuous on a non--meagre set (1995) (20)
On the Classifiability of Cellular Automata (1998) (20)
Classification theory over a predicate. I (1985) (20)
More on SOP_1 and SOP_2 (2004) (20)
ℵn-Free Modules With Trivial Duals (2009) (20)
Determinimg abelian p-groups from their n-Socles (1990) (20)
Proper forcing revisited (1982) (20)
Model theoretic stability and categoricity for complete metric spaces (2006) (20)
Diamond and λ-systems (1988) (20)
Sweet & sour and other flavours of ccc forcing notions (1999) (20)
Measurable recurrence and quasi-invariant measures (1982) (20)
NON-EXISTENCE OF UNIVERSAL MEMBERS IN CLASSES OF ABELIAN GROUPS (1998) (20)
Universal graphs with a forbidden subtree (2005) (19)
On non-forking spectra (2012) (19)
Not collapsing cardinals ≤κ in ( (2003) (19)
Modest Theory of Short Chains . II Author ( s ) : (1979) (19)
A two-cardinal theorem and a combinatorial theorem (1977) (19)
On partitions of the real line (1979) (19)
Model Companions of TAut for Stable T (2001) (19)
Quite complete real closed fields (2001) (19)
Creature forcing and large continuum: the joy of halving (2010) (19)
A parallel to the null ideal for inaccessible $$\lambda $$λ: Part I (2012) (19)
DECIDABILITY AND CLASSIFICATION OF THE THEORY OF INTEGERS WITH PRIMES (2016) (19)
Monadic logic: Hanf Numbers (1986) (19)
Relations Between Some Cardinals in the Absence of the Axiom of Choice (2000) (19)
Rigid homogeneous chains (1981) (18)
Chain conditions in dependent groups (2011) (18)
Reasonably complete forcing notions (2005) (18)
Narrow boolean algebras (1985) (18)
Bounding by Canonical Functions, with CH (2000) (18)
Creature forcing and five cardinal characteristics in Cichoń’s diagram (2014) (18)
On the Spectrum of Characters of Ultrafilters (2016) (18)
Cofinality of the nonstationary ideal (2002) (18)
Existence of rigid-like families of Abelian p-groups (1975) (18)
An addendum and corrigendum to "Almost free splitters" (Colloq. Math. 81 (1999), 193-221) (2001) (18)
McColm's Conjecture (1994) (18)
-sets of reals (1993) (18)
A consistency result on weak reflection (1995) (18)
Uncountable Saturated Structures have the Small Index Property (1993) (18)
Stationary logic and its friends. I (1985) (18)
On reconstructing separable reducedp-groups with a given socle (1987) (18)
The cofinality spectrum of the infinite symmetric group (1994) (18)
Main gap for locally saturated elementary submodels of a homogeneous structure (1998) (18)
Strong negative partition relations below the continuum (1991) (18)
Sets in a euclidean space which are not a countable union of convex subsets (1990) (17)
On the number of non-almost isomorphic models of $T$ in a power. (1971) (17)
Are a and d your cup of tea (2000) (17)
A closed (n + 1)-convex set inR2 is a union ofn6 convex sets (1990) (17)
Model-theoretic applications of cofinality spectrum problems (2015) (17)
Canonization theorems and applications (1981) (17)
Nondeterministic linear-time tasks may require substantially nonlinear deterministic time in the case of sublinear work space (1990) (17)
Was Sierpiński right? IV (1997) (17)
Categoricity and multidimensional diagrams (2018) (17)
Algebraically closed groups of large cardinality (1979) (17)
The Canary Tree (1993) (17)
Can you take Toernquist's inaccessible away? (2016) (17)
Absolutely rigid systems and absolutely indecomposable groups (2000) (17)
CONSTRUCTING SIMPLE GROUPS FOR LOCALIZATIONS (2002) (17)
For what filters is every reduced product saturated? (1972) (17)
Karp complexity and classes with the independence property (2003) (16)
Trivial automorphisms (2011) (16)
σ-Entangled linear orders and narrowness of products of Boolean algebras (1997) (16)
On the existence of precovers (2003) (16)
Non standard uniserial module over a uniserial domain exists (1986) (16)
Coding and Reshaping when there are no Sharps (1992) (16)
The null ideal restricted to some non-null set may be א 1-saturated (1998) (16)
A two-cardinal theorem (1975) (16)
The Primal Framework I (1990) (16)
The null ideal restricted to some non-null set may be א 1-saturated (1998) (16)
Almost free groups and Ehrenfeucht-Fraïssé games for successors of singular cardinals (2002) (16)
Countably compact groups without non-trivial convergent sequences (2020) (16)
Stable structures homogeneous for a finite binary language (1984) (16)
The Primal Framework II: Smoothness (1991) (16)
Measured creatures (2000) (16)
On coherent systems of projections for N 1-separable groups (1993) (16)
The number of pairwise non-elementarily-embeddable models (1989) (16)
General Non-structure Theory (2010) (16)
Somewhere Trivial Autohomeomorphisms (1994) (16)
Maximal chains inωω and ultrapowers of the integers (1993) (16)
Homogeneity of infinite permutation groups (1989) (16)
Preserving preservation (2004) (16)
Borel completeness of some ℵ₀-stable theories (2015) (16)
On uniformly antisymmetric functions (1993) (16)
Cardinal invariants of ultrapoducts of Boolean algebras (1997) (16)
On the cofinality of the splitting number (2018) (16)
Whitehead modules over large principal ideal domains (2000) (16)
On theories T categorical in |T| (1970) (15)
Strong Polarized Relations for the Continuum (2011) (15)
Cofinalities of elementary substructures of structures on ℵω (1997) (15)
Reasonable Ultrafilters, Again (2006) (15)
The spectrum problem II: Totally transcendental and infinite depth (1982) (15)
The combinatorics of τ-covers (2004) (15)
A Countable Structure Does Not Have a Free Uncountable Automorphism Group (2000) (15)
There are just four second-order quantifiers (1973) (15)
General topology meets model theory, on 𝔭 and 𝔱 (2013) (15)
Gently killing S-spaces (1998) (15)
ℵω may have a strong partition relation (1981) (15)
Forcing isomorphism (1993) (15)
Random models and the Gödel case of the decision problem (1983) (15)
Length of Boolean algebras and ultraproducts (1998) (15)
On the strength of the interpretation method (1989) (15)
On some problems in general topology (2007) (15)
Cellularity of free products of Boolean algebras (or topologies) (1995) (15)
The character spectrum of β(N) (2011) (15)
On the Very Weak 0-1 Law for Random Graphs with Orders (1995) (15)
Coding with ladders a well ordering of the reals (2001) (15)
MODEL-THEORETIC PROPERTIES OF ULTRAFILTERS BUILT BY INDEPENDENT FAMILIES OF FUNCTIONS (2012) (15)
Killing Luzin and Sierpiński sets (1994) (15)
A Variety with Solvable, but not Uniformly Solvable, Word Problem (1993) (15)
Regular subalgebras of complete Boolean algebras (2001) (15)
Absolutely Indecomposable Modules (2007) (15)
Ramsey theorems for product of finite sets with submeasures (2011) (15)
Strong negative partition above the continuum (1990) (15)
The Hanf number of the first order theory of Banach spaces (1978) (15)
Baire property and axiom of choice (1992) (15)
On the existence of large subsets of [λ]κ which contain no unbounded non-stationary subsets RID="★"ID="★" Publication number 698 in author's list. Partially supported by the Israel Science Foundation. (2002) (15)
A polarized partition relation and failure of GCH at singular strong limit (1997) (15)
Very weak zero one law for random graphs with order and random binary functions (1996) (15)
Possible Orderings of an Indiscernible Sequence (1977) (14)
The monadic theory and the “next world” (1984) (14)
The Automorphism Tower Problem Revisited (1999) (14)
GCH implies the existence of many rigid almost free abelian groups (2000) (14)
Extraspecial p-groups (1987) (14)
On invariants for ₁-separable groups (1995) (14)
Appendix to models with second order properties II trees with no undefined branches (1978) (14)
Almost isometric embedding between metric spaces (2006) (14)
Axiomatic Set Theory (1984) (14)
Combinatorial Aspects of the Splitting Number (2010) (14)
♣ Does not imply the existence of a Suslin tree (1996) (14)
A construction of all normal subgroup lattices of 2-transitive automorphism groups of linearly ordered sets (1985) (14)
K-bounded Exponential-logarithmic Power Series Fields (2005) (14)
Iterated forcing and changing cofinalities (1981) (14)
Non-elementary proper forcing notions (1997) (14)
Vive la différence II. The Ax-Kochen isomorphism theorem (1993) (14)
Regressive Ramsey Numbers Are Ackermannian (1998) (14)
A combinatorial principle equivalent to the existence of non-free Whitehead groups (1994) (14)
Embeddings of Cohen Algebras (1995) (14)
Dependent T and existence of limit models (2006) (14)
Orthogonality of types in separably closed fields (1987) (13)
Existentially closed structures in the power of the continuum (1984) (13)
Every coseparable group may be free (1993) (13)
More forcing notions imply diamond (1994) (13)
On the Arrow property (2001) (13)
SPECTRA OF MONADIC SECOND ORDER SENTENCES (2004) (13)
Random Sparse Unary Predicates (1994) (13)
Every null-additive set is meager-additive (1995) (13)
Polish algebras, shy from freedom (2002) (13)
Ideals without ccc (1996) (13)
A Borel maximal eventually different family (2016) (13)
What majority decisions are possible (2003) (13)
REFLEXIVE SUBGROUPS OF THE BAER-SPECKER GROUP AND MARTIN'S AXIOM (2000) (13)
Nice infinitary logics (2010) (13)
On properties of theories which preclude the existence of universal models (2000) (13)
A tall space with a small bottom (2001) (13)
μ-complete Souslin trees on μ+ (1993) (13)
Independent families in Boolean algebras with some separation properties (2012) (13)
On the weak Freese-Nation property of complete Boolean algebras (1999) (12)
Two Results on Cardinal Invariants at Uncountable Cardinals (2018) (12)
A graph which embeds all small graphs on any large set of vertices (1988) (12)
All meager filters may be null (1993) (12)
LORDS OF THE ITERATION (2006) (12)
On regular reduced products* (2001) (12)
Saturation of ultrapowers and Keisler's order (1972) (12)
Strongly meager Sets do not Form an Ideal (1998) (12)
MA(σ-centered): Cohen reals, strong measure zero sets and strongly meager sets (1989) (12)
A Comment on "mathfrak{p} < mathfrak{t}" (2009) (12)
Adding linear orders (2011) (12)
Boolean algebras with few endomorphisms (1979) (12)
Abstract elementary classes stable in ℵ0 (2017) (12)
Weak compactness and the structure of Ext(A,ℤ) (1981) (12)
Stable theories and representation over sets (2009) (12)
Consistently There Is No Non Trivial CCC Forcing Notion with the Sacks or Laver Property (2000) (12)
Lusin sequences under CH and under Martin's Axiom (1998) (12)
Regressive partition relations for infinite cardinals (1987) (12)
Another ordering of the ten cardinal characteristics in Cichoń's diagram (2017) (12)
The cofinality of cardinal invariants related to measure and category (1989) (12)
Forcing the failure of CH by adding a real (1984) (12)
Local character of Kim-independence (2017) (12)
Strongly almost disjoint sets and weakly uniform bases (1998) (12)
Constructing Boolean Algebras for cardinal invariants (1997) (12)
Universal graphs with a forbidden subgraph: Block path solidity (2014) (12)
Category Analogue of Sup-Measurability Problem (1999) (12)
Pointwise compact and stable sets of measurable functions (1992) (12)
Two consistency results on set mappings (2000) (11)
On Logical Sentences in PA (1984) (11)
The combinatorics of reasonable ultrafilters (2004) (11)
More on stationary coding (1986) (11)
A new look at interpretability and saturation (2017) (11)
Possible PCF algebras (1994) (11)
Categoricity may fail late (2004) (11)
EXAMPLES IN DEPENDENT THEORIES (2010) (11)
Decomposing topological spaces into two rigid homeomorphic subspaces (1988) (11)
On the cogeneration of cotorsion pairs (2004) (11)
THE CICHO¶ N DIAGRAM (2002) (11)
Δ1/3-sets of reals (1993) (11)
A Partition Theorem for Scattered Order Types (2002) (11)
Cichoń’s maximum without large cardinals (2019) (11)
Subalgebras of Cohen algebras need not be Cohen (1996) (11)
The cardinals of simple models for universal theories (1974) (11)
Kaplansky test problem forR-modules (1991) (11)
Nowhere Precipitousness of the non-stationary Ideal over (2001) (11)
ON THE NUMBER OF DEDEKIND CUTS AND TWO-CARDINAL MODELS OF DEPENDENT THEORIES (2013) (11)
On Hanf numbers of the infinitary order property (1998) (11)
UNIVERSAL IN (<λ)-STABLE ABELIAN GROUP (1996) (11)
A note on extensions of infinitary logic (2000) (11)
Covering the Baire space by families which are not finitely dominating (2004) (11)
Middle diamond (2002) (11)
Models of expansions of N with no end extensions (2008) (11)
Squares of Menger-bounded groups (2006) (11)
Filters, Cohen sets and consistent extensions of the Erdős-Dushnik-Miller Theorem (2000) (11)
Uniformization, choice functions and well orders in the class of trees (1994) (11)
Open and solved problems concerning polarized partition relations (2012) (11)
On long increasing chains modulo flat ideals (2007) (11)
ALMOST GALOIS ω-STABLE CLASSES (2015) (11)
Remarks on squares (1986) (11)
Refuting ehrenfeucht conjecture on rigid models (1976) (11)
A consistent counterexample in the theory of collectionwise Hausdorff spaces (1989) (11)
ANTI-HOMOGENEOUS PARTITIONS OF A TOPOLGICAL SPACE (2004) (11)
Differentially closed fields (1973) (11)
Analytic colorings (2002) (11)
PCF without choice (2005) (11)
Souslin trees and successors of singular cardinals (1986) (11)
Clones from creatures (2002) (11)
The PCF Trichotomy Theorem does not hold for short sequences (2000) (11)
Nonisomorphism of ultrapowers of countable models (1995) (11)
CARDINAL INVARIANTS bκ AND tκ (2000) (11)
DOP and FCP in generic structures (1996) (11)
Some notes on iterated forcing with 2ℵ0>ℵ2 (1987) (11)
Evasion and prediction (2003) (11)
On incomparability and related cardinal functions on ultraproducts of Boolean algebras (1999) (10)
A dependent theory with few indiscernibles (2010) (10)
A Comment on “ p < t ” (2009) (10)
Isomorphic but not lower base-isomorphic cylindric set algebras (1988) (10)
A partition theorem for pairs of finite sets (1991) (10)
The structure of saturated free algebras (1983) (10)
Sufficiency Conditions for the Existence of Transversals (1974) (10)
Splitting stationary sets from weak forms of Choice (2009) (10)
When first order T has limit models (2006) (10)
McColm's conjecture [positive elementary inductions] (1994) (10)
The stability spectrum for Classes of Atomic Models (2012) (10)
Finite subgraphs of uncountably chromatic graphs (2002) (10)
Was Sierpinski Right? III: Can Continuum-cc. Times c.c.c. be Continuum-c.c.? (1995) (10)
Keisler's order is not simple (and simple theories may not be either) (2019) (10)
On Nicely Definable Forcing Notions (2005) (10)
Remarks on the numbers of ideals of Boolean algebra and open sets of a topology (1986) (10)
Reasoning with Time and Chance (Extended Abstract) (1983) (10)
Singly cogenerated annihilator classes (1987) (10)
Forcing with stable posets (1982) (10)
Remark to “local definability theory” of Reyes☆ (1971) (10)
A Tribute to Paul Erdős: Incompactness for chromatic numbers of graphs (1990) (10)
Large intervals in the clone lattice (2002) (10)
On cardinalities in quotients of inverse limits of groups (1999) (10)
On equivalence relations second order definable over H(κ) (2002) (10)
Almost free algebras (1994) (10)
Symmetrically complete ordered sets abelian groups and fields (2013) (10)
A Hanf number for saturation and omission (2011) (10)
No universal group in a cardinal (2013) (10)
Recursive logic frames (2004) (10)
“Gap 1” two-cardinal principles and the omitting types theorem for ℒ(Q) (1989) (10)
Uncountable groups have many nonconjugate subgroups (1987) (10)
Uniformization and the diversity of Whitehead groups (1992) (10)
Decompositions of saturated models of stable theories (2006) (10)
Generating ultrafilters in a reasonable way (2006) (10)
On Cardinal Invariants of the Continuum. Axiomatic Set Theory (2005) (10)
Colouring without triangles and partition relation (1975) (10)
The higher Cichoń diagram (2018) (10)
The Hanf number of stationary logic (1986) (10)
On incompactness for chromatic number of graphs (2012) (10)
On the number of nonisomorphic models of cardinality λ L∞λ-equivalent to a fixed model (1981) (10)
Universal Structures (2004) (10)
On saturation for a predicate (1981) (10)
Threshold spectra for random graphs (1987) (9)
Few non-minimal types and non-structure (1999) (9)
Planting Kurepa trees and killing Jech-Kunen trees in a model by using one inaccessible cardinal (1992) (9)
The stationary set splitting game (2008) (9)
More constructions for Boolean algebras (1996) (9)
On the no(M) for M of singular power (1986) (9)
Zero-one laws for graphs with edge probabilities decaying with distance. Part I (1996) (9)
Abstract classes with few models have ‘homogeneous-universal’ models (1995) (9)
Infinite monochromatic sumsets for colourings of the reals (2017) (9)
Addendum to "Choiceless Polynomial Time": Ann. Pure Appl. Logic 100 (1999) 141-187 (2001) (9)
Models of real-valued measurability (2006) (9)
More Jonsson Algebras (1998) (9)
The automorphism group of Hall’s universal group (2017) (9)
Van der Waerden spaces and Hindman spaces are not the same (2001) (9)
A Borel maximal cofinitary group (2016) (9)
Cardinal sequences and Cohen real extensions (2004) (9)
Exact saturation in simple and NIP theories (2015) (9)
The strength of the isomorphism property (1994) (9)
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Uniformization principles (1989) (9)
Universally measurable sets in generic extensions (2010) (9)
Infinitary Axiomatizability of Slender and Cotorsion-Free Groups (1999) (9)
A Note on Small Baire Spaces (1986) (9)
On embedding certain partial orders into the P-points under Rudin-Keisler and Tukey reducibility (2017) (9)
Existence of EF‐equivalent non‐isomorphic models (2006) (9)
Classifi cation over a predicate II (1985) (9)
The existence of coding sets (1986) (9)
On the Number of Elementary Submodels of an Unsuperstable Homogeneous Structure (1997) (9)
Reconstructing structures with the strong small index property up to bi-definability (2017) (9)
The covering numbers of Mycielski ideals are all equal (1997) (9)
More on powers of singular cardinals (1987) (9)
On Monk's questions (1996) (9)
Some Independence Results on Reflection (1997) (9)
Power set modulo small, the singular of uncountable cofinality (2006) (9)
On measure and category (1985) (9)
Possible size of an ultrapower of $\omega$ (1998) (9)
Corrigendum to “generalized martin’s axiom and souslin’s hypothesis for higher cardinals” (1986) (9)
ω-elongations and Crawley’s problem (1986) (9)
Weakly compact cardinals: A combinatorial proof (1979) (9)
Stability and omitting types (1991) (9)
Stationary sets and infinitary logic (1997) (9)
Categoricity over P for first order T or categoricity for phi in L_{omega_1 omega} can stop at aleph_k while holding for aleph_0, ..., aleph_{k-1} (1990) (9)
Successors of singulars, cofinalities of reduced products of cardinals and productivity of chain conditions (1988) (9)
Choiceless Polynominal Time Logic: Inability to Express (2000) (9)
Forcing constructions for uncountably chromatic graphs (1988) (9)
THE NEAR COHERENCE OF FILTERS PRINCIPLE DOES NOT IMPLY THE FILTER DICHOTOMY PRINCIPLE (2008) (9)
Non existence of universals for classes like reduced torsion free abelian groups under non neccessarily pure embeddings (1996) (9)
On the possible number no(M)= the number of nonisomorphic models LINFINITY, λ-equivalent to M of power λ, for λ singular (1985) (9)
Constructing strongly equivalent nonisomorphic models for unsuperstable theories. Part B (1995) (9)
Cardinal preserving ideals (1996) (9)
More on Weak Diamond (1985) (9)
On the standard part of nonstandard models of set theory (1983) (9)
Convergence in Homogeneous Random Graphs (1995) (9)
Model Theory for a Compact Cardinal (2013) (8)
Remarks on Strong Nonstructure Theorems (1993) (8)
Controlling cardinal characteristics without adding reals (2019) (8)
More on Cardinal Invariants of Boolean Algebras (1998) (8)
Constructing strongly equivalent nonisomorphic models for unsuperstable theories, Part C (1997) (8)
Comparing the closed almost disjointness and dominating numbers (2011) (8)
The random graph and automorphisms of the rational world (1993) (8)
The distributivity numbers of finite products of P(omega) /fin (1998) (8)
Subsets of superstable structures are weakly benign (2003) (8)
More on proper forcing (1984) (8)
Categoricity of theories in L_{kappa^* omega}, when kappa^* is a measurable cardinal. Part II (1996) (8)
On Distinguishing Quotients of Symmetric Groups (1998) (8)
Generalizing random real forcing for inaccessible cardinals (2016) (8)
Pcf and abelian groups (2007) (8)
A model in which there are Jech-Kunen trees but there are no Kurepa trees (1993) (8)
Monadic logic and löwenheim numbers (1985) (8)
Almost-Free E-Rings of Cardinality ℵ1 (2001) (8)
Non-existence of universals for classes like reduced torsion free abelian groups under embeddings which are not necessarily pure (1996) (8)
The ℵ 2 \1-Souslin Hypothesis (1981) (8)
Weak Reflection at the Successor of a Singular Cardinal (2003) (8)
The failure of the uncountable non-commutative Specker Phenomenon (2000) (8)
On some configurations related to the Shelah Weak Hypothesis (1999) (8)
Aut (M) Has a Large Dense Free Subgroup for Saturated M (1994) (8)
On nice equivalence relations on λ2 (2004) (8)
0# and some forcing principles (1986) (8)
Kurepa trees and the failure of the Galvin property (2021) (8)
An upper cardinal bound on absolute E-rings (2009) (8)
Correction to “Martin’s Maximum, saturated ideals, and non-regular ultrafilters. Part I” (1989) (8)
Regular ultrafilters and finite square principles (2007) (8)
On countably closed complete Boolean algebras (1995) (8)
Free limits of forcing and more on Aronszajn trees (1981) (8)
Can You Feel the Double Jump? (1994) (8)
The spectrum of independence (2019) (8)
On problems of Moser and Hanson (1972) (8)
How large can a hereditarily separable or hereditarily Lindelöf space be? (1986) (8)
On closed P-sets with ccc in the space ω* (1993) (8)
Creature forcing and five cardinal characteristics of the continuum (2014) (7)
On Crawley Modules (2005) (7)
Toward classification theory of good lambda frames and abstract elementary classes (2004) (7)
Collectionwise Hausdorff: incompactness at singulars (1989) (7)
There are reasonably nice logics (1991) (7)
Strong Dichotomy of Cardinality (1998) (7)
Uniquely Transitive Torsion-free Abelian Groups (2004) (7)
Cardinals related to the minimal tower problem (2003) (7)
There is no bound on sizes of indecomposable Banach spaces (2016) (7)
The consistency with CH of some consequences of Martin’s axiom plus $$2^{\aleph _0 } > \aleph _1 $$ (1978) (7)
Nonreflecting stationary sets in Pκλ (2006) (7)
Borel conjecture and dual Borel conjecture (2011) (7)
The minimal cofinality of an ultrapower of ω and the cofinality of the symmetric group can be larger than b+ (2011) (7)
A note on canonical functions (1989) (7)
An example of a new simple theory (2018) (7)
Generalized E-Rings (2004) (7)
Kulikov's Problem on Universal Torsion‐Free Abelian Groups (2003) (7)
The Karp complexity of unstable classes (2000) (7)
Identities on cardinals less than ℵω (1995) (7)
The relative consistency of g < cf(Sym(ω)) (2000) (7)
Modules over arbitrary domains (1985) (7)
PARTIAL CHOICE FUNCTIONS FOR FAMILIES OF FINITE SETS (2008) (7)
Reflecting on logical dreams (2014) (7)
The null ideal restricted to some non-null set may be $\aleph _1$-saturated (1997) (7)
Transfering saturation, the finite cover property, and stability (1995) (7)
The solution to Crawley’s problem (1986) (7)
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Non-special Aronszajn trees on ℵω+1 (1986) (7)
Maximal failures of sequence locality in a.e.c (2009) (7)
The depth of ultraproducts of Boolean algebras (2004) (7)
Outer Automorphism Groups of Ordered Permutation Groups (2000) (7)
Polish topologies for graph products of groups (2017) (7)
Naturality and Definability, I (1986) (7)
Quite free complicated abelian groups, pcf and black boxes (2014) (7)
ℵn-FREE MODULES OVER COMPLETE DISCRETE VALUATION DOMAINS WITH ALMOST TRIVIAL DUAL* (2013) (7)
Specializing Aronszajn Trees and Preserving Some Weak Diamonds (2009) (7)
No limit model in inaccessible (2007) (7)
Some notes concerning the homogeneity of Boolean algebras and Boolean spaces (2002) (7)
Stable theories (1969) (7)
Topological Partition Relations of the Form ω*→(Y)12 a (1993) (7)
Forcing isomorphism II (1996) (7)
On topological properties of ultraproducts of finite sets (2004) (7)
ON THE UNIVERSALITY OF SYSTEMS OF WORDS IN PERMUTATION GROUPS (1987) (7)
Prescribing Endomorphism Algebras of ℵ n -free Modules (2011) (7)
Comparing the uniformity invariants of null sets for different measures (2004) (7)
Martin’s Axiom and separated mad families (2012) (7)
A small ultrafilter number at smaller cardinals (2019) (7)
The spectrum of characters of ultrafilters on ω (2008) (7)
PCF arithmetic without and with choice (2009) (7)
MAD Families and SANE Player (2009) (7)
Baire irresolvable spaces and lifting for a layered ideal (1989) (7)
Good Frames With A Weak Stability (2009) (7)
The two-cardinals transfer property and resurrection of supercompactness (1996) (7)
Countably decomposable admissible sets (1984) (7)
Non-trivial automorphisms of P ( N ) / [ N ] < א 0 from variants of small dominating number (2015) (7)
On the p-rank of Ext (1998) (7)
No Uncountable Polish Group Can be a Right-Angled Artin Group (2017) (7)
On the number of automorphisms of uncountable models (1993) (7)
Cardinalities of Topologies with Small Base (1994) (7)
A note on model complete models and generic models (1972) (6)
Strongly almost disjoint familes, revisited (2000) (6)
On the expressibility hierarchy of Magidor-Malitz quantifiers (1983) (6)
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Order polynomially complete lattices must be large (1997) (6)
Universality of the lattice of transformation monoids (2011) (6)
Theories with EF-Equivalent Non-Isomorphic Models (2007) (6)
aleph_n-Free abelain group with no non-zero homomorphism Z (2006) (6)
Adding one random real (1994) (6)
How much sweetness is there in the universe? (2004) (6)
Nonproper products (2009) (6)
A combinatorial forcing for coding the universe by a real when there are no sharps (1993) (6)
A long EF-equivalence non isomorphic models (2004) (6)
A separation theorem for simple theories (2018) (6)
Abstract elementary classes near aleph_1 (2007) (6)
Large normal ideals concentrating on a fixed small cardinality (1994) (6)
Depth of Boolean Algebras (2008) (6)
$$\aleph_n$$-Free Modules with Trivial Duals (2009) (6)
On uniqueness of prime models (1979) (6)
Many countable support iterations of proper forcings preserve Souslin trees (2013) (6)
Model Companions of T Aut for Stable T (2011) (6)
Categoricity and solvability of A.E.C., quite highly (2008) (6)
Cardinal characteristics at $$\aleph_\omega$$ (2018) (6)
Theories with Ehrenfeucht-Fraïssé equivalent non-isomorphic models (2008) (6)
Simple forcing notions and forcing axioms (1996) (6)
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PCF theory: applications (1998) (6)
On ultraproducts of Boolean algebras and irr (2000) (6)
On the structure of Ext(A,Z) in ZFC+ (1985) (6)
Infinite Monochromatic Paths and a Theorem of Erdős-Hajnal-Rado (2019) (6)
Examples for Souslin forcing (1993) (6)
The number of infinite substructures (1991) (6)
Compactness in singular cardinals revisited (2014) (6)
Evasion and prediction IV Strong forms of constant prediction (2003) (6)
Tie-points and fixed-points in N^* (2007) (6)
Implausible Subgroups of Infinite Symmetric Groups (1988) (6)
Generic left-separated spaces and calibers (2002) (6)
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Specialising Aronszajn trees by countable approximations (2001) (6)
Torsion-Free Abelian Groups are Consistently a ∆ 12-complete (2018) (6)
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Non-Cohen Oracle C.C.C. (2003) (6)
Potential isomorphism and semi-proper trees (2001) (6)
ON VERSIONS OF 〓 ON CARDINALS LARGER THAN N_1 (2000) (6)
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Finite canonization (1995) (6)
NNR Revisited (2000) (6)
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On Depth and Depth+ of Boolean Algebras (2005) (6)
Maximal Subsets of Infinite Symmetric Groups (1992) (6)
Controlling classical cardinal characteristics while collapsing cardinals (2019) (6)
The Erdős–Rado Arrow for Singular Cardinals (2006) (6)
Divide and Conquer: Dividing Lines and Universality (2021) (6)
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A Hanf number for saturation and omission: the superstable case (2014) (6)
A decidable subclass of the minimal Gödel class with identity (1984) (6)
More consistency results in partition calculus (1993) (6)
The Ehrenfeucht-Fra¨õsse-game of length ! 1 (2008) (6)
Uniforming n-place Functions on Well Founded Trees (2009) (6)
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Saturating the Random Graph with an Independent Family of Small Range (2012) (6)
It is consistent with ZFC that B1 -groups are not B2 (2003) (6)
Ramsey theory for highly connected monochromatic subgraphs (2018) (6)
The complete finitely axiomatized theories of order are dense (1976) (6)
Relational structures constructible by quantifier free definable operations (2007) (6)
The theorems of Beth and craig in abstract model theory, III: Δ-logics and infinitary logics (1990) (6)
Almost disjoint abelian groups (1984) (6)
Time polynomial in input or output (1989) (6)
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More on regular reduced products (2004) (6)
Note on a min-max problem of leo moser (1969) (6)
There are no infinite order polynomially complete lattices, after all (1998) (5)
Linear liftings for non-complete probability spaces (1992) (5)
Cofinality of normal ideals on P_\kappa(\lambda), I (2004) (5)
The abelianization of inverse limits of groups (2016) (5)
Cardinal invariants of ultraproducts of Boolean algebras (1998) (5)
A game on partial orderings (1995) (5)
Infinite combinatorics in mathematical biology (2021) (5)
Beginning of stability theory for Polish spaces (2010) (5)
Absolute E-Rings (2011) (5)
Homogeneous Families and their Automorphism Groups (1994) (5)
A partition relation using strongly compact cardinals (2001) (5)
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Transcendence bases, well-orderings of the reals and the axiom of choice (2019) (5)
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Classification theory for elementary abstract classes (2009) (5)
The Strong Small Index Property for Free Homogeneous Structures (2017) (5)
Introduction to: classification theory for abstract elementary class (2009) (5)
On Semi-Proper Forcing (1982) (5)
Automorphism towers and automorphism groups of fields without Choice (2010) (5)
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On the cardinality and weight spectra of compact spaces, II (1997) (5)
On a non-vanishing Ext (2004) (5)
PCF and infinite free subsets (1998) (5)
Modules over arbitrary domains II (1986) (5)
A transversal of full outer measure (2017) (5)
Ladder gaps over stationary sets (2004) (5)
Functorial equations for lexicographic products (2003) (5)
Historic forcing for Depth (2000) (5)
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On decomposable sentences for finite models (1986) (5)
On strongly-non-reflexive groups (1987) (5)
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The spectrum problem III: Universal theories (1986) (5)
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Weakening the local character (2011) (5)
Large indecomposable minimal groups (2009) (5)
How rigid are reduced products (2005) (5)
EF-equivalent not isomorphic pair of models (2008) (5)
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THE NONSTATIONARY IDEAL ON P() FORSINGULAR (2010) (5)
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Forcing many positive polarized partition relations between a cardinal and its powerset (2001) (5)
The automorphism tower of a centerless group without Choice (2009) (5)
Changing cardinal characteristics without changing Omega-sequences or cofinalities (1999) (5)
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On Independent Representation (2001) (5)
Random graphs in the monadic theory of order (1997) (5)
Two cardinals models with gap one revisited (2004) (5)
Strongly meager and strong measure zero sets (1999) (5)
Strongly meager sets of size continuum (2002) (5)
Bounded m-ary Patch-Width Are Equivalent For m > 2 (2006) (5)
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Ultrafilter extensions do not preserve elementary equivalence (2017) (4)
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A consistent edge partition theorem for infinite graphs (1993) (4)
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Long iterations for the continuum (2001) (4)
Duality and the pcf theory (2002) (4)
NON FORKING GOOD FRAMES WITHOUT LOCAL CHARACTER (2010) (4)
A note on small sets of reals (2018) (4)
Models of PA: Standard Systems without Minimal Ultrafilters (2009) (4)
Model Theory (2012) (4)
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Two problems onℵ0-indecomposable Abelian Groups (1986) (4)
K-universal Finite Graphs (1996) (4)
Distorted sums of models (1996) (4)
Compactness of Lobe spaces (1996) (4)
Adding dominating reals with the random algebra (1993) (4)
Full reflection of stationary sets at regular cardinals (1992) (4)
Unstable classes of metric structures (2008) (4)
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On possible restrictions of the null ideal (2019) (4)
Small-large subgroups of the reals (2016) (4)
Independence in Local Abstract Elementary Classes Part I (2004) (4)
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Models with few isomorphic expansions (1977) (4)
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Saccharinity with ccc (2016) (4)
Applications of pcf for mild large cardinals to elementary embeddings (2013) (4)
Combinatorial background for non-structure (2015) (4)
A Sacks real out of nowhere (2007) (4)
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A nonconservativity result on global choice (1984) (4)
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On the number of minimal models (1978) (4)
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Atomic saturation of reduced powers (2016) (4)
Remarks on cardinal invariants in topology (1977) (4)
Pseudo P-points and splitting number (2018) (4)
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A characterization of Ext(G,ℤ) assuming (V = L) (2006) (4)
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Perfectly meager sets and universally null sets (2001) (4)
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A Space with Only Borel Subsets (2000) (4)
Why There Are Many Nonisomorphic Models for Unsuperstable Theories (2010) (4)
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A.E.C. with Not Too Many Models (2013) (3)
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Models of Cohen measurability (2013) (3)
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The Combinatorics of Reasonable Ultrafilters the Combinatorics of Reasonable Ultrafilters 3 (0)
Chapter VII: Axioms and Their Application (1998) (0)
Cardinal invariants b_kappa and t_kappa (2000) (0)
CLASSIFICATION THEORY FOR TAME ABSTRACT ELEMENTARY CLASSES MATH 255 LECTURE NOTES (2017) (0)
Pcf with Little Choice Sh955 (2010) (0)
On the Arrow Property Sh782 (2011) (0)
RAMSEY THEORY FOR HIGHLY CONNECTED MONOCHROMATIC SUBGRAPHS F1814 (2018) (0)
A model of $$\mathsf {ZFA}+ \mathsf {PAC}$$ZFA+PAC with no outer model of $$\mathsf {ZFAC}$$ZFAC with the same pure part (2018) (0)
A ZFC Dowker space in $\aleph (1998) (0)
Pseudo P-points and splitting number (2019) (0)
The generic pair conjecture for dependent finite diagrams (2016) (0)
Universal Abelian Groups Theorem: If 2 @ 0 and There Is Such That (1995) (0)
The Ehrenfeucht-Fraisse-game of length omega_1 (1993) (0)
Note on omega-nw-nep forcing notions (2003) (0)
A consistency result on weak re ectionJames (2012) (0)
Kaplansky's Problem on Valuation Rings@@@A Transfer Theorem for Nonstandard Uniserials@@@On a Conjecture regarding Nonstandard Uniserial Modules@@@Explicitly Non-Standard Uniserial Modules (2002) (0)
Avoiding equal distances (2017) (0)
Weak reflection at the successor of singular (2000) (0)
On Inverse gamma-Systems and The Number of Linfinite lambda-Equivalent, Non-Isomorphic Models for lambda Singular (1998) (0)
ON CO-K-SOUSLIN RELATIONS t (1984) (0)
κ-fold transitive groups (2010) (0)
K-pic and Not Adding Reals (1998) (0)
Abstract Corrected Iterations (2023) (0)
Usuba's principle $UB_\lambda$ can fail at singular cardinals (2021) (0)
Torsion-free abelian groups are consistently $ {\rm a}\Delta ^1_2$-complete (2018) (0)
On Ch + 2 ℵ 1 → (α) (1993) (0)
A Result Related to the Problem CN of Fremlin (1997) (0)
Stable frames and weights (2023) (0)
A dependent theory with few indiscernibles (2014) (0)
Martin Axiom revisited (1982) (0)
ON INVARIANTS FOR w, -SEPARABLE GROUPS (2010) (0)
FPL may be equivalent to FO but not equivalent to PFP (2004) (0)
On versions of clubsuit on cardinals larger than aleph_1 (1999) (0)
When is Namba forcing semi-proper, Chang Conjecture and games (1982) (0)
There is a maximal homogeneous family over $\omega$ (1995) (0)
L O ] 1 5 M ay 1 99 2 Many simple cardinal invariants November 1991 (2018) (0)
2 4 M ar 2 00 1 A PARTITION RELATION USING STRONGLY COMPACT CARDINALS SH 761 (2021) (0)
Automorphisms and strongly invariant relations (2003) (0)
A PARTITION RELATION USING STRONGLY COMPACT CARDINALS SH761 (2011) (0)
What Majority Decisions Are Possible Sh816 (2011) (0)
Friedman's problem (1982) (0)
On Theories T Categorical in absolut T (1970) (0)
Ju n 19 95 Localizations of infinite subsets of ω (1996) (0)
There is a maximal homogeneous family over ω (1995) (0)
Monotone hulls for N cap M (2010) (0)
The failure of the uncountable non-commutative (2000) (0)
On model completion of T_{aut} (2004) (0)
The Erd¨os -rado Arrow for Singular (2006) (0)
Beginning of Stability Theory for Polish Spaces Sh849 (0)
More on forcing not adding ω-sequences and on the diagonal argument (1982) (0)
Martin’s Axiom and separated mad families (2011) (0)
Uniform n-place functions on T\subseteq ds(\alpha) (2009) (0)
L O ] 2 2 N ov 2 00 0 Bounding by canonical functions , with CH ∗ (2008) (0)
Explicitly nonstandard uniserial modules (1993) (0)
Preservation by free limit (1982) (0)
The Consistency of $\mathrm{ZFC} + 2^{\aleph_0} > \aleph_\omega + \mathscr{J}(\aleph_2) = \mathscr{J}(\aleph_\omega)$ (1997) (0)
Transfering Saturation, the Finite Cover Property, And (1999) (0)
The nonstationary ideal on Pkappa for lambda singular (2017) (0)
A Version of $\kappa$-Miller Forcing (2018) (0)
Aronszajn Trees on N 2 and N 3 (2001) (0)
Sweet & Sour and other flavours (1999) (0)
AEC for strictly stable (2023) (0)
A ZFC Dowker space in $\aleph_{\omega+1}$: an application of pcf theory to topology (1995) (0)
Hanf number for the strictly stable cases (2014) (0)
Large Ideals on ω 1 (1998) (0)
kappa-bounded Exponential-Logarithmic Power Series Fields (2005) (0)
Chapter X: On Semi-Proper Forcing (1998) (0)
Universally measurable sets may all be Delta^1_2 (2020) (0)
L O ] 1 0 D ec 2 00 5 κ-bounded Exponential-Logarithmic Power Series Fields ∗ (0)
Torsion Modules, Lattices and P‐Points (1997) (0)
Non-trivial automorphisms of $${{\mathcal {P}}}({\mathbb {N}})/[{\mathbb {N}}]^{<\aleph _0}$$P(N)/[N] (2015) (0)
A note on kappa-freeness (2004) (0)
Applications of Pcf Theory Sh589 (2011) (0)
Mad Families and Sane Player Sh935 (2009) (0)
Four papers on uniserial modules (2002) (0)
Monotone Borel hulls for Baire Property (2013) (0)
The Universality Spectrum : Consistency for more Classes no (0)
ZF+DC+AX_4 (2014) (0)
On the classiflability of Cellular Automata (2003) (0)
L O ] 1 5 Ja n 19 98 A model with no magic set (2022) (0)
Ge Sacks and sg Simpson [1972] the oz-ﬁnite injury method, Ann. Math. Logic, 4, pp. 323-367 (1999) (0)
On a problem of Steve Kalikow (2000) (0)
The composition of two forcing notions (1982) (0)
Characterizing automorphism groups of ordered abelian groups Rüdiger Göbel and Saharon Shelah (0)
Chapter XVI: Large Ideals on $\aleph_1$ from Smaller Cardinals (1998) (0)
HOMOGENEOUS FAMILIES AND THEIR AUTOMORPHISM GROUPS May 1993 (1993) (0)
On the p-rank of Ext(A,B) for countable abelian groups A and B (2013) (0)
L O ] 2 2 O ct 2 01 5 An extension of the Ehrenfeucht-Fräısse game for first order logics augmented with Lindström quantifiers (2018) (0)
Positive logics (2020) (0)
Nice Infinitary Logics Sh797 (0)
Nonreflecting Stationary Sets in Pkλ (公理的集合論) (2001) (0)
Chapter XI: Changing Cofinalities; Equi-Consistency Results (1998) (0)
Large Ideals on (2016) (0)
Between Whitehead groups and uniformization (2022) (0)
Independent families in Boolean algebras with some separation properties (2013) (0)
D ec 2 00 1 Potential isomorphism and semi-proper trees (2002) (0)
ADVANCES IN CARDINAL ARITHMETIC SH420 (2009) (0)
The Monadic Theory of ω 12 Author ( s ) : (2008) (0)
Chapter XIV: Iterated Forcing with Uncountable Support (1998) (0)
On Finitary Hindman Numbers (2019) (0)
Strongly dependent theories (2014) (0)
Creature forcing and large continuum: the joy of halving (2011) (0)
Cofinalities of elementary substructures of structures on aleph_omega (1996) (0)
Consistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1" (2005) (0)
L O ] 2 2 Ju n 20 04 SIMPLE COMPLETE BOOLEAN ALGEBRAS (1974) (0)
Pcf without Choice Sh835 (0)
A regular topological space having no closed subsets of cardinality ℵ (1991) (0)
New non-free Whitehead groups (corrected version) (1997) (0)
The September Notes on Proper Forcing (1982) (0)
Shearing in some simple rank one theories (2021) (0)
$\mu $-complete Suslin trees on $\mu ^+$ (1993) (0)
Reasonable Ultraﬁlters, Again (2011) (0)
Universal Structures Sh820 (0)
Diamonds Sh922 (0)
An Improper Arithmetically Closed Borel Subalgebra of P(omega) mod FIN (2010) (0)
Weak definability in infinitary languages (1973) (0)
Chapter XVIII: More on Proper Forcing (1998) (0)
The independence of $$\mathsf {GCH}$$ GCH and a combinatorial principle related to Banach–Mazur games (2021) (0)
Martin Axiom and few applications (1982) (0)
Maximal almost disjoint families of subset of ω (1982) (0)
The spectrum of ultraproducts of finite cardinals for an ultrafilter (2018) (0)
Downey, R., f, iiForte, G. and Nies, A., Addendum to (1999) (0)
COTORSION THEORIES AND SPLITTERS Rüdiger Göbel and Saharon Shelah (2000) (0)
DEPENDENT FIRST ORDER THEORIES, CONTINUED SH783 (2015) (0)
Non-trivial automorphisms of P(N)/(N) (2015) (0)
TOPOLOGY IN ZFC* (2002) (0)
What forcing can we iterate without addding reals (1982) (0)
On reflection of stationary sets in P_kappa lambda (1998) (0)
Canonical universal locally finite groups (2023) (0)
THEORIES WITH EF-EQUIVALENT NON-ISOMORPHIC MODELS SH897 (2012) (0)
On the number of L_{infty,omega_1}-equivalent non-isomorphic models (1999) (0)
Random Graph: Stronger logic but with the zero one law (2015) (0)
Weak diamond for ℵ2 assuming CH (1982) (0)
Further independence results (1982) (0)
The pair $(\aleph_n,\aleph_0)$ may fail $\aleph_0$--compactness (2004) (0)
Evasion and prediction IV: Fragments of constant prediction (2001) (0)
Iterated forcing with RCS (revised countable support) (1982) (0)
LF groups, aec amalgamation, few automorphisms. (2019) (0)
Forcing, Basic Facts (1982) (0)
No Limit Model in Inaccessible Sh906 (0)
$triangle^13$-Sets of Reals (1993) (0)
Iteration of forcing notions which does not add reals (1982) (0)
On a Problem of Juhand van Mill (2010) (0)
A counterexample connected to preservation (1982) (0)
External automorphisms of ultraproducts of finite models (2012) (0)
Delta13-Sets of Reals (1993) (0)
Ordered Black Boxes: Existence (2013) (0)
Nnr Revisited Sh656 (0)
Differential Closed Fields. (1987) (0)
The ultrafilter number for singular cardinals (2012) (0)
Rigid aleph_epsilon-saturated models of superstable theories (1999) (0)
On the weak Borel chromatic number and cardinal invariants of the continuum (2023) (0)
Closed unbounded subsets of ω1 can run away from many sets (1982) (0)
Chain conditions and Avraham's problem (1982) (0)
Can groupwise density be much bigger than the non-dominating number? (2006) (0)
ON SOME PROBLEMS IN GENERAL TOPOLOGY SH-E3 (0)
The automorphism group of a saturated model has a large dense free subgroup (1993) (0)
Black Boxes Sh309 (0)
A complicated family of trees with omega + 1 levels (2014) (0)
All creatures great and small (2007) (0)
REVIEWS-On cardinal invariants of the continuum (2005) (0)
Strong Covering Lemma and the G.C.H. (1982) (0)
Subscription Information Order Information Back Issues Logic Journal of the Igpl (0)
The spectrum of independence (2019) (0)
Borel partitions of inflnite sequences of reals (1996) (0)
Borel partitions of inﬁnite sequences of reals (1993) (0)
ON REFLECTION OF STATIONARY SETS IN P1,rA (2016) (0)
Uniforming n-place functions on ds(alpha) (2008) (0)
ASH, CJ, Categoricity in hyperarithmetical degrees BALDWIN, JT and HARRINGTON, L., Trivial pursuit: Re-marks on the main gap COOPER, SB and EPSTEIN, RL, Complementing below re-cursively enumerable degrees (1987) (0)
Universality among the graph omitting a complete bipartite graph (2001) (0)
Applications of axiom II (1982) (0)
MORE ON: THE REVISED GCH AND MIDDLE DIAMOND SH829 (2004) (0)
N ov 2 00 2 THE FUTURE OF SET THEORY (2021) (0)
Consistency of partition relation for cardinal in (lambda,2^lambda) (1997) (0)
their ideals and their cardinal characteristics (1997) (0)
Independence for $(\lambda,\mu)$ (2015) (0)
M ar 2 01 5 Constructing many atomic models in א 1 (2015) (0)
Filtration-equivalent aleph1-separable abelian groups of cardinality aleph1 (2010) (0)
When adding a real cannot destroy CH (1982) (0)
Partition Theorems from Creatures and Idempotent Ultrafilters (2013) (0)
On the bounding, splitting, and distributivity numbers (2022) (0)
Bound on $$2^{\aleph _\alpha }$$ for ℵα singular (1982) (0)
L O ] 2 4 M ay 1 99 9 Category analog of sup-measurability problem (2022) (0)
Creatures and fix point ultrafilters (2010) (0)
On Nicely Definable Forcing Notions Sh711 (2011) (0)

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