Thomas Jech

Thomas J. Jech (Czech: Tomáš Jech, pronounced [ˈtɔmaːʃ ˈjɛx]; born January 29, 1944 in Prague) is a mathematician specializing in set theory who was at Penn State for more than 25 years.

Life

He was educated at Charles University (his adviser was Petr Vopěnka) and is now at the Institute of Mathematics of the Academy of Sciences of the Czech Republic.

Work

Jech's research also includes mathematical logic, algebra, analysis, topology and measure theory.

Jech gave the first published proof of the consistency of the existence of a Suslin line. With Karel Prikry, he introduced the notion of precipitous ideal. He gave several models where AC failed, for example one with ω₁ measurable. The concept of a Jech–Kunen tree is named after him and Kenneth Kunen.

Bibliography

"Non-provability of Souslin's hypothesis", Comment. Math. Univ. Carolinae, 8: 291–305, 1967, MR 0215729
Lectures in set theory, with particular emphasis on the method of forcing, Springer-Verlag Lecture Notes in Mathematics 217 (1971) (ISBN 978-3540055648)
The axiom of choice, North-Holland 1973 (Dover paperback edition ISBN 978-0-486-46624-8)
(with K. Hrbáček) Introduction to set theory, Marcel Dekker, 3rd edition 1999 (ISBN 978-0824779153)
Multiple forcing, Cambridge University Press 1986 (ISBN 978-0521266598)^[1]
Set Theory, 3rd millennium (revised) ed., 2003, Springer Monographs in Mathematics, Springer, ISBN 3-540-44085-2 is the standard graduate level text. 1st ed. 1978;^[2] 2nd (corrected) ed. 1997

References

↑ Baumgartner, James (1989). "Review: Multiple forcing by Thomas Jech" (PDF). Bull. Amer. Math. Soc. (N.S.). 20 (1): 103–107. doi:10.1090/s0273-0979-1989-15716-9.
↑ Kunen, Kenneth (1980). "Review: Set theory by Thomas Jech" (PDF). Bull. Amer. Math. Soc. (N.S.). 3, Part 1 (1): 775–777. doi:10.1090/S0273-0979-1980-14818-1.

External links

Home page, with a copy at Penn state.
Thomas Jech at the Mathematics Genealogy Project

Set theory

Axioms	Choice countable dependent Constructibility (V=L) Determinacy Extensionality Infinity Pairing Power set Regularity Union Martin's axiom Axiom schema replacement specification

Operations	Cartesian product Complement De Morgan's laws Disjoint union Intersection Power set Set difference Symmetric difference Union

Concepts Methods	Cardinality Cardinal number (large) Class Constructible universe Continuum hypothesis Diagonal argument Element ordered pair tuple Family Forcing One-to-one correspondence Ordinal number Transfinite induction Venn diagram

Set types	Countable Empty Finite (hereditarily) Fuzzy Infinite Recursive Subset · Superset Transitive Uncountable Universal

Theories	Alternative Axiomatic Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo–Fraenkel von Neumann–Bernays–Gödel Morse–Kelley Kripke–Platek Tarski–Grothendieck

Paradoxes Problems	Russell's paradox Suslin's problem

Set theorists	Abraham Fraenkel Bertrand Russell Ernst Zermelo Georg Cantor John von Neumann Kurt Gödel Paul Bernays Paul Cohen Richard Dedekind Thomas Jech Thoralf Skolem Willard Quine

Authority control	WorldCat Identities VIAF: 29580304 LCCN: n79007023 ISNI: 0000 0001 0883 3267 GND: 107482673 SUDOC: 030565448 BNF: cb12195534c (data) MGP: 29512

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