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Set Theory : The Third Millennium Edition, revised and expanded / by Thomas Jech.
- Format:
- Book
- Author/Creator:
- Jech, Thomas, author.
- Series:
- Springer monographs in mathematics 1439-7382
- Springer Monographs in Mathematics, 1439-7382
- Language:
- English
- Subjects (All):
- Logic, Symbolic and mathematical.
- Mathematical Logic and Foundations.
- Mathematical Logic and Formal Languages.
- Local Subjects:
- Mathematical Logic and Foundations.
- Mathematical Logic and Formal Languages.
- Physical Description:
- 1 online resource (XIV, 772 pages).
- Edition:
- Third edition 2003.
- Contained In:
- Springer Nature eBook
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
- System Details:
- text file PDF
- Summary:
- 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.
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540447610
- Access Restriction:
- Restricted for use by site license.
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