Set Theory

Name: Set Theory
Availability: InStock
ISBN: 9783540440857

ISBN-10: 3540440852

ISBN-13: 9783540440857

Edition: 3rd 2003 (Revised)

Authors: Thomas J. Jech

List price: $219.99

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Description:

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.

Book details

List price: $219.99
Edition: 3rd
Copyright year: 2003
Publisher: Springer Berlin / Heidelberg
Publication date: 10/18/2002
Binding: Hardcover
Pages: 772
Size: 6.10" wide x 9.25" long x 1.75" tall
Weight: 2.794
Language: English




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++G++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 Cadinals


Forcing and Large Cardinals


Martin's Maximum


More on Stationary Sets


Bibliography


Notation


Index


Name Index.