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Set theory / Thomas Jech.

Por: Tipo de material: TextoTextoIdioma: eng. Series Springer monographs in mathematicsDetalles de publicación: Berlin : Springer ; 2003.Edición: 3rd edDescripción: xiii, 769 p. ; 24 cmISBN:
  • 3540440852
  • 9783540440857
ISSN:
  • 14397382
Tema(s): Clasificación CDD:
  • 511.322 21
Recursos en línea:
Contenidos:
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.
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Tipo de ítem Biblioteca actual Signatura Copia número Estado Fecha de vencimiento Código de barras Reserva de ítems
Colección general Colección general Biblioteca Yachay Tech 511.322 J44s 2003 (Navegar estantería(Abre debajo)) Ej. 1 Disponible 004311
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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.

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