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. 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. 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.

Bibliography

• 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)
• Set Theory, 3rd millennium ed., 2003, Springer Monographs in Mathematics, Springer, ISBN 3-540-44085-2 is the standard graduate level text.

External links

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

v t e Set theory Axioms Axiom of choice Axiom of countable choice Axiom of dependent choice Axiom of extensionality Axiom of infinity Axiom of pairing Axiom of power set Axiom of regularity Axiom of union Axiom schema of replacement Axiom schema of specification Continuum hypothesis Martin's axiom Large cardinal Operations Cartesian product Complement De Morgan's laws Intersection Power set Set difference Symmetric difference Union Concepts Cardinality Cardinal number Class Constructible universe Element Family One-to-one correspondence Ordinal number Transfinite induction Venn diagram Sets Diagonal argument Countable set Empty set Finite set Fuzzy set Hereditarily finite set Infinite set Recursive set Subset Transitive set Uncountable set Universal set Theories Axiomatic set theory Cantor's theorem Forcing Morse–Kelley Naive set theory New Foundations Paradoxes Principia Mathematica Russell's paradox Suslin's problem NBG Zermelo set theory ZFC Alternative set theory People Abraham Fraenkel Bertrand Russell Ernst Zermelo Georg Cantor John von Neumann Kurt Gödel Lotfi A. Zadeh Paul Bernays Paul Cohen Richard Dedekind Thomas Jech Willard Quine