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Set theory

Author: Thomas J Jech
Publisher: Berlin [u.a.] : Springer, 2002.
Series: Springer monographs in mathematics
Edition/Format:   Book : English : 3. millenium ed, rev. and expandedView all editions and formats
Database:WorldCat
Summary:

Suitable for set theorists, this book covers major advances in various areas of set theory.

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Document Type: Book
All Authors / Contributors: Thomas J Jech
ISBN: 3540440852 9783540440857
OCLC Number: 174929965
Description: XIII, 469 S.
Contents: 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.- Advanced Set Theory.- Constructible Sets.- Forcing.- Applications of Forcing.- Iterated Forcing and Martin's Axiom.- Large Cardinals.- Large Cardinals and L.- Iterated Ultrapowers and L[U].- Very Large Cardinals.- Large Cardinals and Forcing.- Saturated Ideals.- The Nonstationary Ideal.- The Singular Cardinal Problem.- Descriptive Set Theory.- The Real Line.- 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 Cardinals.- Forcing and Large Cardinals.- Martin's Maximum.- More on Stationary Sets.
Series Title: Springer monographs in mathematics
Responsibility: Thomas Jech.
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From the reviews of the third edition: "Thomas Jech's text has long been considered a classic survey of the state of the set theory ... . As every logician will know, this is a work of extraordinary Read more...

 
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