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- catalog abstract "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.".
- catalog contributor b12712642.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "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 -- 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 -- 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.".
- catalog description "Includes bibliographical references (p. [707]-732) and indexes.".
- catalog 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.".
- catalog extent "xiii, 769 p. ;".
- catalog identifier "3540440852 (acid-free paper)".
- catalog isPartOf "Springer monographs in mathematics, 1439-7382".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "511.3/22 21".
- catalog subject "Computer science.".
- catalog subject "Logic, Symbolic and mathematical.".
- catalog subject "Mathematics.".
- catalog subject "QA248 .J42 2003".
- catalog subject "Set theory.".
- catalog tableOfContents "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 -- 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 -- 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.".
- catalog title "Set theory / Thomas Jech.".
- catalog type "text".