Thomas Jech

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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[edit]

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[edit]

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[edit]

  • 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[edit]

  1. ^ 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. 
  2. ^ 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. 

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