Set Theory: The Third Millennium Edition, revised and expanded (Springer Monographs in Mathematics 3rd rev. ed. Corr. 4th printing 2006)

Set Theory: The Third Millennium Edition, revised and expanded (Springer Monographs in Mathematics 3rd rev. ed. Corr. 4th printing 2006)

By: Thomas J. Jech (author)Hardback

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Description

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

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.

Product Details

  • ISBN13: 9783540440857
  • Format: Hardback
  • Number Of Pages: 772
  • ID: 9783540440857
  • weight: 2830
  • ISBN10: 3540440852
  • edition: 3rd rev. ed. Corr. 4th printing 2006

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