Set Theory: The Third Millennium Edition, revised and expanded / Edition 3

Set Theory: The Third Millennium Edition, revised and expanded / Edition 3

by Thomas Jech
ISBN-10:
3540440852
ISBN-13:
9783540440857
Pub. Date:
11/19/2002
Publisher:
Springer Berlin Heidelberg
ISBN-10:
3540440852
ISBN-13:
9783540440857
Pub. Date:
11/19/2002
Publisher:
Springer Berlin Heidelberg
Set Theory: The Third Millennium Edition, revised and expanded / Edition 3

Set Theory: The Third Millennium Edition, revised and expanded / Edition 3

by Thomas Jech
$219.99 Current price is , Original price is $219.99. You
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Overview

This monograph covers the recent major advances in various areas of set theory.

From the reviews:

"One of the classical textbooks and reference books in set theory....The present ‘Third Millennium’ edition...is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master....This well-written book promises to influence the next generation of set theorists, much as its predecessor has done." —MATHEMATICAL REVIEWS


Product Details

ISBN-13: 9783540440857
Publisher: Springer Berlin Heidelberg
Publication date: 11/19/2002
Series: Springer Monographs in Mathematics
Edition description: 3rd rev. ed. 2003. Corr. 2nd printing 2002
Pages: 772
Product dimensions: 6.10(w) x 9.25(h) x 0.06(d)

Table of 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.
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