Thomas Jech
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Czech mathematician
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Thomas Jechmathematics Degrees
Mathematics
#586
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#1103
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Measure Theory
#209
World Rank
#325
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Mathematics
Thomas Jech's Degrees
- PhD Mathematics Charles University
Why Is Thomas Jech Influential?
(Suggest an Edit or Addition)According to Wikipedia, Thomas J. Jech is a mathematician specializing in set theory who was at Penn State for more than 25 years. Life He was educated at Charles University and from 2000 is at the Institute of Mathematics of the Academy of Sciences of the Czech Republic.
Thomas Jech's Published Works
Published Works
- About the Axiom of Choice (1973) (226)
- Introduction to Set Theory (1978) (217)
- The Iterative Conception of Set (1971) (196)
- Some combinatorial problems concerning uncountable cardinals (1973) (188)
- Lectures in set theory,: With particular emphasis on the method of forcing (1971) (163)
- Martin's Maximum (1987) (115)
- Measure Algebras (2017) (78)
- An ideal game (1978) (69)
- The Ranking of Incomplete Tournaments: A Mathematician's Guide to Popular Sports (1983) (58)
- Complete CCC Boolean Algebras, the Order Sequential Topology, and a Problem of Von Neumann (2003) (53)
- Ideals over uncountable sets: application of almost disjoint functions and generic ultrapowers (1979) (47)
- Precipitous ideals (1980) (47)
- Measures on Boolean algebras (2017) (46)
- Projective Stationary Sets and a Strong Reflection Principle (1994) (38)
- More game-theoretic properties of boolean algebras (1984) (37)
- Finite Left-Distributive Algebras and Embedding Algebras (1992) (37)
- On ideals of sets and the power set operation (1976) (37)
- Abstract theory of abelian operator algebras: an application of forcing (1985) (31)
- ω1 can be measurable (1968) (30)
- Weak Distributivity, A Problem of Von Neumann and the Mystery of Measurability (2006) (30)
- Singular Cardinals and the PCF Theory (1995) (29)
- Full reflection of stationary sets below ℵω (1990) (26)
- A game theoretic property of Boolean algebras1) (1978) (26)
- The sequential topology on complete Boolean algebras (1996) (26)
- Introduction to Set Theory, Revised and Expanded (2017) (25)
- Generalized iteration of forcing (1991) (24)
- Cofinality of the partial ordering of functions from Ω1 into Ω under eventual domination (1984) (24)
- Variants of the axiom of choice in set theory with atoms (1973) (22)
- Saturation of the closed unbounded filter on the set of regular cardinals (1985) (19)
- Stationary subsets of inaccessible cardinals (1983) (17)
- Semi-Cohen Boolean Algebras (1995) (16)
- Automorphisms of ω 1 -Trees (1972) (16)
- Simple complete Boolean algebras (1974) (15)
- Local Clubs, Reflection, and Preserving Stationary Sets (1989) (14)
- Some properties of κ-complete ideals defined in terms of infinite games (1984) (13)
- Automorphisms of ₁-trees (1972) (13)
- On Gödel’s second incompleteness theorem (1992) (12)
- Forcing with trees and ordinal definability (1975) (12)
- Set theory, Second Edition (1997) (12)
- On hereditarily countable sets (1982) (12)
- Possible PCF algebras (1994) (11)
- Boolean-linear spaces (1990) (11)
- Suslin's problem (1971) (10)
- A partition theorem for pairs of finite sets (1991) (10)
- A Tribute to Paul Erdős: On the cofinality of countable products of cardinal numbers (1990) (10)
- Singular Cardinal Problem: Shelah's Theorem on 2ℵω (1992) (9)
- Algebraic characterizations of measure algebras (2006) (9)
- On countably closed complete Boolean algebras (1995) (8)
- A quantitative theory of preferences: Some results on transition functions (1989) (7)
- A note on canonical functions (1989) (7)
- First Order Theory of Complete Stonean Algebras (Boolean-Valued Real and Complex Numbers) (1987) (7)
- On a conjecture of Tarski on products of cardinals (1991) (6)
- The logarithmic distribution of leading digits and finitely additive measures (1992) (5)
- OTTER experiments in a system of combinatory logic (1994) (5)
- On the Egoroff property of pointwise convergent sequences of functions (1986) (4)
- Review: Yiannis N. Moschovakis, Descriptive set theory (1981) (4)
- Multiple forcing: Index of symbols (1987) (4)
- Standard models of set theory with predication (1971) (4)
- Contributions to the Theory of Weakly Distributive Complete Boolean Algebras (2007) (4)
- Full reflection of stationary sets at regular cardinals (1992) (4)
- Left-distributive embedding algebras (1997) (4)
- ON REFLECTION OF STATIONARY SETS IN Pκλ (1998) (3)
- A variation on a theorem of Galvin and Hajnal (1993) (3)
- Some examples of precipitous ideals (1983) (3)
- Large ordinals (1994) (3)
- Full reflection at a measurable cardinal (1993) (3)
- On the number of generators of an ideal (1981) (3)
- On projections of finitely additive measures (1979) (3)
- On the structure of stationary sets (2003) (3)
- Finite left-distributive algebras and embedding algebras\endtitle (1992) (3)
- A note on countable Boolean algebras (1982) (2)
- On a problem of L. Nachbin (1980) (2)
- Properties of the gimel function and a classification of singular cardinals (1973) (2)
- A Complete Boolean Algebra That Has No Proper Atomless Complete Subalgebra (1995) (2)
- WHAT IS Forcing? (2008) (2)
- On reflection of stationary sets in _ (1999) (2)
- More on transitive models (1971) (1)
- Fraenkel-mostowski models (1971) (1)
- Convergence and submeasures in Boolean algebras (2017) (1)
- Some results on combinators in the system TRC (1998) (1)
- Descriptive Set Theory (1997) (1)
- A remark on a principle of Brézis and Browder (1989) (1)
- Positive ∑ operations on ordinals and normal filters on greatly mahlo cardinals (1989) (1)
- A hierarchy of filters on regular uncountable cardinals (1987) (1)
- Singular Cardinal Problem: Shelah's Theorem on 2 ℵ ω (2002) (1)
- On Σ1 well-orderings of the universe (1976) (1)
- Two remarks on elementary embeddings of the universe. (1971) (1)
- A note on countably generated complete Boolean algebras (1976) (1)
- Multiple forcing: Author index (1987) (1)
- Axiom of regularity (1971) (1)
- On G Odel's Second Incompleteness Theorem If M and N Are Models We Deene M M N If There Exists Some M 2 N Such That 2 M = 2 M (1)
- REVIEWS-Singular cardinal problem: Shelah's theorem on No) (2002) (0)
- Review: F. R. Drake, On Weak Cardinal Powers in Generic Extensions (1973) (0)
- A theorem on $P_{\kappa}(\lambda)$ (1986) (0)
- Consistency of AC and GCH (1971) (0)
- Some Applications of Forcing (1997) (0)
- Multiple forcing: Examples of proper forcing (1987) (0)
- Multiple forcing: Proper forcing (1987) (0)
- Embedding of FM models in models of ZF (1971) (0)
- Multiple forcing: Well-founded iteration (1987) (0)
- Automorphisms of $\omega \sb{1}$-trees (1972) (0)
- Martin's axiom (1971) (0)
- Multiple forcing: Product forcing (1987) (0)
- Independence of the continuum hypothesis and collapsing of cardinals (1971) (0)
- Multiple forcing: Product measure forcing (1987) (0)
- AUTOMORPHISMS OF X ,-TREES (2016) (0)
- Multiple forcing: Examples of generic reals (1987) (0)
- Multiple forcing: Martin's Axiom (1987) (0)
- Review: Alexander S. Kechris, Yiannis N. Moschovakis, A. S. Kechris, Y. N. Moschovakis, Cobol Seminar (1985) (0)
- Remarks on complete boolean algebras (1971) (0)
- The method of forcing and boolean — valued models (1971) (0)
- Formulas and classes (1971) (0)
- Multiple forcing: Suslin's problem (1987) (0)
- Multiple forcing: Countable support iteration (1987) (0)
- FA ] 2 0 D ec 2 00 6 Algebraic characterizations of measure algebras ∗ (2008) (0)
- Review: Andrzej Mostowski, Imre Lakatos, Recent Results in Set Theory; G. Kreisel, A. Robinson, L. Kalmar, A. Mostowski, Discussion; Andrzej Mostowski, On Some New Metamathematical Results Concerning Set Theory (1972) (0)
- Multiple forcing: Kaplansky's conjecture (1987) (0)
- Multiple forcing: Borel's conjecture (1987) (0)
- Remark on ordinal definability (1971) (0)
- ON REFLECTION OF STATIONARY SETS IN P1,rA (2016) (0)
- REVIEWS-Set theory (2005) (0)
- Multiple forcing: Preface (1987) (0)
- Review: H. G. Dales, W. H. Woodin, An Introduction to Independence for Analysts (1990) (0)
- Transitive Models of Set Theory (1997) (0)
- Shorter Notes: On a Problem of L. Nachbin (1980) (0)
- Multiple forcing: The Proper Forcing Axiom (1987) (0)
- Multiple forcing: Properties of the generic extension (1987) (0)
- Other Large Cardinals (1997) (0)
- Multiple forcing: Iteration of proper forcing (1987) (0)
- A maximal definable σ-ideal over ω1 (1981) (0)
- Axioms of Zermelo-Fraenkel (1971) (0)
- Two applications of boolean-valued models in the theory of boolean algebras (1971) (0)
- A NOTE ON COUNTABLY GENERATED COMPLETE (2010) (0)
- L O ] 2 2 Ju n 20 04 SIMPLE COMPLETE BOOLEAN ALGEBRAS (1974) (0)
- Bell J. L.. Boolean-valued models and independence proofs in set theory . Oxford logic guides. Clarendon Press, Oxford 1977, xviii + 126 pp. (1981) (0)
- Multiple forcing: Bibliography (1987) (0)
- Moti Gitik. Regular cardinals in models of ZF. Transactions of the American Mathematical Society , vol. 290 (1985), pp. 41–68. (1994) (0)
- Hella, L., Kolaitis, PG and Luosto, K., How to define a linear (1997) (0)
- LOCAL TOPOLOGY AND A SPECTRAL THEOREM (0)
- On reflection of stationary sets in P_kappa lambda (1998) (0)
- Multiple forcing: The Lévy collapse (1987) (0)
- Independence of AC (1971) (0)
- Multiple forcing: Finite support iteration (1987) (0)
- I Stationary Sets 3 (0)
- Multiple forcing: Stationary sets (1987) (0)
- Multiple forcing: Whitehead's problem (1987) (0)
- Review: J. L. Bell, Boolean-Valued Models and Independence Proofs in Set Theory; Dana Scott, Foreword (1981) (0)
- A short proof of the irreflexivity conjecture (1992) (0)
- SINGULAR CARDINAL PROBLEM: SHELAH'S (1992) (0)
- Multiple forcing: Two step iteration (1987) (0)
- Multiple forcing: Infinite games on complete Boolean algebras (1987) (0)
- Forcing and Generic Models (1997) (0)
- Multiple forcing: Forcing and Boolean-valued models (1987) (0)
- Examples of product forcing (1987) (0)
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