# Thomas Jech

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

## LifeEdit

He was educated at Charles University (his advisor was Petr Vopěnka) and from 2000 is at the Institute of Mathematics of the Academy of Sciences of the Czech Republic.

## WorkEdit

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 the axiom of choice failed, for example one with ω_{1} measurable. The concept of a Jech–Kunen tree is named after him and Kenneth Kunen.

## BibliographyEdit

- "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*: The Third Millennium Edition, revised and expanded, 2006, Springer Science & Business Media, ISBN 3-540-44085-2. 1st ed. 1978;^{[2]}2nd (corrected) ed. 1997

## ReferencesEdit

**^**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 linksEdit

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