# Saharon Shelah

#874

Most Influential Person Now

Israeli mathematician

## Saharon Shelah's AcademicInfluence.com Rankings

Saharon Shelahmathematics Degrees

Mathematics

#57

World Rank

#172

Historical Rank

Set Theory

#2

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#6

Historical Rank

Measure Theory

#48

World Rank

#82

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Mathematics

## Why Is Saharon Shelah Influential?

(Suggest an Edit or Addition)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.

## Saharon Shelah's Published Works

### Published Works

- 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)
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- Non-trivial automorphisms of P(N)/[N]<ℵ0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathcal {P}}}({\mathbb {N}} (2015) (0)
- Similar But Not The Same: Various Versions of Clubs Do Not Coincide (1997) (0)
- The strong splitting number (2010) (0)
- If There Is an Exactly lambda-free Abelian Group There There Is an Exactly lambda-Separable One in lambda (1996) (0)
- On a question of Grinblat (1999) (0)
- On nice equivalence relations on 2^\lambda (2000) (0)
- On equivalence relations Sigma_1^1-definable over H(kappa) (1999) (0)
- Spectra of the Gamma-invariant of uniform modules (2000) (0)
- Classifying general classes (1988) (0)
- On the classification of definable ccc forcing notions (2016) (0)
- Iterated Forcing with Uncountable Support (1998) (0)
- A FINITELY AXIOMATIZABLE EQUATIONAL THEORY (2000) (0)
- RVM , RVC revisited : Clubs and Lusin sets ∗ (2016) (0)
- The Nonαxiomαtizαbility of 1.(0^) by Finitely Many Schemata (2003) (0)
- L O ] 1 5 M ay 1 99 7 On a problem of Steve (2022) (0)
- Generalizations of properness (1982) (0)
- On omitting cardinals in T_3 spaces (1998) (0)
- Iteration of Forcing (1982) (0)
- Forcing axiom failure for any lambda>aleph_1 (2001) (0)
- More on the Ehrenfencht-Fraisse game of length omega_1 (2002) (0)
- On the number of automorphism of uncontable models (1993) (0)
- Long low iterations (2004) (0)
- On CH + 2N1 → for (2016) (0)
- The Halpern--L\"{a}uchli Theorem at singular cardinals and failures of weak versions (2022) (0)
- The abelianization of inverse limits of groups (2018) (0)
- A Parallel to the Null Ideal for Inaccessible Λ Sh1004 Part I (0)
- The strong covering lemma: Definition and implications (1982) (0)
- Souslin Hypothesis Does Not Imply “Every Aronszajn Tree is Special” (1982) (0)
- Content by Subject (2016) (0)
- MAD SATURATED FAMILIES AND SANE PLAYER SH935 (2015) (0)
- Dominating numbers for countable structures (1997) (0)
- On invariants for ω1-separable groups (2008) (0)
- Nice aleph_1 generated non-P-points, I (2011) (0)
- A cardinal invariant related to homogeneous families (1997) (0)
- Chapter XVII: Forcing Axioms (1998) (0)
- On finitary Hindman's numbers (2018) (0)
- Adding a random real number and its effect on Martin's axiom (2014) (0)
- No Universal Group in a Cardinal Sh1029 (0)
- Combinatorial Coding by a Real (0)
- GlaR, T., Rathjen, M. and Schliiter, A., On the proof-theoretic (1997) (0)
- Hanf Number for the Strictly Stable Cases Sh1048 (0)
- On the non-existence of $\kappa$-mad families (2019) (0)
- Master index to volumes 11-30” (1986) (0)
- Superstable Theories and Representation F1333 (0)
- There may be no P-point (1982) (0)
- PCF AND ABELIAN GROUPS SH898 (2013) (0)
- On some variants of the club principle (2020) (0)
- Reflexive abelian groups and measurable cardinals and saturated MAD families (2007) (0)
- κ‐Madness and definability (2022) (0)
- S ep 2 00 0 Philip Hall ’ s Problem On Non-Abelian Splitters Rüdiger Göbel and Saharon Shelah (2000) (0)
- The Slicing Axioms (2021) (0)
- More on bases of uncountable free abelian groups (2020) (0)
- Abstract (1963) (0)
- The Consistency of ZFC + 2 aleph 0 > aleph omega + F(aleph 2 ) = F(aleph omega ). (1997) (0)
- Ramsey theory for highly connected monochromatic subgraphs (2020) (0)
- The characterization of the spectra of cardinalities of branches of Kurepa trees (2020) (0)
- ec 2 00 6 THE NONSTATIONARY IDEAL ON P κ ( λ ) FOR λ SINGULAR (2006) (0)
- Preservation of ω- properness + the ωω- property (1982) (0)
- Are $\mathfrak a$ and $\mathfrak d$ your cup of tea? Revisited (2021) (0)
- On $C^s_n(\kappa)$ and the Juhasz-Kunen question (2017) (0)
- Amalgamating the S-condition with properness (1982) (0)
- Monotone hulls for $${\mathcal {N}}\cap {\mathcal {M}}$$N∩M (2014) (0)
- A note on some versions of club (1997) (0)
- On slow minimal reals I (2020) (0)
- DEPENDENT THEORIES AND THE GENERIC PAIR CONJECTURE SH900 (2014) (0)
- Proof of main lemma 4.6 (1982) (0)
- 2 Permutation Models (2021) (0)
- The Combinatorics of Reasonable Ultrafilters the Combinatorics of Reasonable Ultrafilters 3 (0)
- Chapter VII: Axioms and Their Application (1998) (0)
- Cardinal invariants b_kappa and t_kappa (2000) (0)
- CLASSIFICATION THEORY FOR TAME ABSTRACT ELEMENTARY CLASSES MATH 255 LECTURE NOTES (2017) (0)
- Pcf with Little Choice Sh955 (2010) (0)
- On the Arrow Property Sh782 (2011) (0)
- RAMSEY THEORY FOR HIGHLY CONNECTED MONOCHROMATIC SUBGRAPHS F1814 (2018) (0)
- A model of $$\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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