Set theory
By: by Thomas Jech
Edition: 2nd corr. ed.
Series: Perspectives in mathematical logic; Perspectives in mathematical logic
Publisher: Springer
Published: 1997
Place of publication: Berlin
Language: eng
Format: [electronic resource] /
Number of pages: 634
ISBN-13: 9783662224007; 9783662224021
Subjects: Mathematical Logic and Formal Languages; Set theory; Mathematical Logic and Foundations
Description: This introduction to modern set theory covers all aspects of its two main general areas: classical set theory including large cardinals, infinitary combinatorics, desriptive set theory, and independence proofs starting with Goedel's proof around 1938 followed by Cohen's proof in 1963, whereby Cohen's method of forcing probably had a greater influence on mathematics. The author's primary emphasis is on forcing and large cardinals (on which he has collected an enormous amount of material which had previously been available only through scattered journal articles or private communication) but there is a substantial discussion of descriptive set theory and infinitary combinatorics as well. The author's presentation is very well-organized and carefully worked out and has become a standard reference.
Notes: Originally published: Academic Press, 1978 in series: Pure and applied mathematics ; vol. 79.

Includes bibliographical references (596-610) and index.

Print version record.
Table of contents: title: I Sets; title: 1 Axiomatic Set Theory; title: 2 Transitive Models of Set Theory; title: II More Sets; title: 3 Forcing and Generic Models; title: 4 Some Applications of Forcing; title: III Large Sets; title: 5 Measurable Cardinals; title: 6 Other Large Cardinals; title: IV Sets of Reals; title: 7 Descriptive Set Theory; title: Historical Notes and Guide to the Bibliography; title: Notation; title: Name Index; title: List of Corrections.