Set theory (Book, 2003) []
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Set theory

Author: Thomas Jech
Publisher: Berlin : Springer-Verlag, cop. 2003.
Series: Springer monographs in mathematics.
Edition/Format:   Print book : English : 3rd millennium ed., rev. and expandView all editions and formats

This monograph covers the recent major advances in various areas of set theory. In three parts the author offers us what in his view every young set theorist should learn and master....This  Read more...


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Document Type: Book
All Authors / Contributors: Thomas Jech
ISBN: 3540440852 9783540440857
OCLC Number: 638755847
Description: XIII, 789 p. : il ; cop. 2003.
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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