Set Theory: The Third Millennium Edition, revised and expanded / Edition 3 by Thomas Jech | 9783540440857 | Hardcover | Barnes & Noble
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: 04/28/2006

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783540440857
Publisher:
Springer Berlin Heidelberg
Publication date:
04/28/2006
Series:
Springer Monographs in Mathematics Series
Edition description:
3rd rev. ed. Corr. 4th printing 2006
Pages:
772
Product dimensions:
9.21(w) x 6.14(h) x 1.63(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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