Set theory
 Responsibility
 Thomas Jech.
 Edition
 The 3rd millennium ed., rev. and expanded.
 Imprint
 Berlin ; New York : Springer, c2003.
 Physical description
 xiii, 769 p. ; 24 cm.
 Series
 Springer monographs in mathematics.
Online
At the library
Science Library (Li and Ma)
Stacks
Call number  Note  Status 

QA248 .J42 2003  Unknown 
More options
Description
Creators/Contributors
 Author/Creator
 Jech, Thomas J.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [707]732) and indexes.
 Contents

 I. Basic Set Theory. Axioms of Set Theory. Ordinal Numbers. Cardinal Numbers. Real Numbers. The Axiom of Choice and Cardinal Arithmetic. The Axiom of Regularity. Filters, Ultrafilters and Boolean Algebras. Stationary Sets. Combinatorial Set Theory. Measurable Cardinals. Borel and Analytic Sets. Models of Set Theory. II. Advanced Set Theory. Constructible Sets. Forcing. Applications of Forcing. Iterated Forcing and Martin's Axiom. Large Cardinals. Large Cardinals and L. Iterated Ultrapowers and LAUU. Very Large Cardinals. Large Cardinals and Forcing. Saturated Ideals. The Nonstationary Ideal. The Singular Cardinal Problem. Descriptive Set Theory. The Real Line. III. Selected Topics. Combinatorial Principles in L. More Applications of Forcing. More Combinatorial Set Theory. Complete Boolean Algebras. Proper Forcing. More Descriptive Set Theory. Determinacy. Supercompact Cardinals and the Real Line. Inner Models for Large Cadinals. Forcing and Large Cardinals. Martin's Maximum. More on Stationary Sets. Bibliography. Notation. Index. Name Index.
 (source: Nielsen Book Data)
 Publisher's summary

Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference.
(source: Nielsen Book Data)
Subjects
 Subjects
 Set theory.
Bibliographic information
 Publication date
 2003
 Series
 Springer monographs in mathematics, 14397382
 ISBN
 3540440852 (acidfree paper)
 9783540440857 (acidfree paper)