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Jech, Thomas J.

Set theory / Thomas Jech. - 3rd ed. - Berlin : Springer ; 2003. - xiii, 769 p. ; 24 cm. - Springer monographs in mathematics. .

Includes indexes.

Includes bibliographical references (p. 707-732).

Part I. 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. Part II. Advanced Set Theory.
- Constructible Sets.
- Forcing.
- Applications of Forcing.
- Iterated Forcing and Martin's Axiom.
- Large Cardinals.
- Large Cardinals and L.
- Iterated Ultrapowers and LÄUÜ.
- Very Large Cardinals.
- Large Cardinals and Forcing.
- Saturated Ideals.
- The Nonstationary Ideal.
- The Singular Cardinal Problem.
- Descriptive Set Theory.
- The Real Line. Part III. 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.

ISBN: 3540440852 9783540440857

ISSN: 14397382

LCCN: 2002030443

Subjects--Topical Terms:
Set theory.

Dewey Class. No.: 511.322