Set theory

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Set theory / Thomas Jech

資料種別:: 図書
出版情報:: New York ; Tokyo : Academic Press, c1978
形態:: xi, 621 p. ; 24 cm
シリーズ名:: Pure and applied mathematics ; 79 <BA00019614>
著者名:: Jech, Thomas J. <DA00533647>
ISBN:: 9780123819505 [0123819504]
書誌ID:: BA03704499

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注記:

Bibliography: p. 596-610
Includes index

主題:

Set theory

言語:

英語

目次情報:

Basic Set Theory / I：

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 / II：

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 / III：

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

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