The core model

The core model

by Dodd, A., (Anthony)

Type Book
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The core model, K, is a generalization of Gödel's constructible universe of set theory; K is used to produce 'fine structural' results of a less restrictive kind. This book aims to introduce the core model to those with a basic knowledge of axiomatic set theory. The covering lemma for K is the main technical result but other applications are also considered. The author gives a full exposition of general fine structure and of iterated ultrapowers and concludes the work with a short section on th…

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Title Statements

  • Full title :The core model / A. Dodd.

Summary

The core model, K, is a generalization of Gödel's constructible universe of set theory; K is used to produce 'fine structural' results of a less restrictive kind. This book aims to introduce the core model to those with a basic knowledge of axiomatic set theory. The covering lemma for K is the main technical result but other applications are also considered. The author gives a full exposition of general fine structure and of iterated ultrapowers and concludes the work with a short section on the difficulties encountered in constructing more general core models using 'extenders'.

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Edition Statements

  • Publication Date:1982.

Publication Statements

The Physical Object

  • Description:1 online resource (xxxviii, 229 pages)

Edition Identifiers

  • ISBN:9781107361157, 110736115X
  • oclc:ocn839302738
  • LC Classification:QA248
  • Dewey Decimal:511.3/22

Table of Contents

Fine Structure -- Normal Measures -- Mice -- The Core Model -- The Covering Lemma -- Larger Core Models.

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Subjects

Axiomatic set theory Axiomatische Mengenlehre Ensembles, Théorie axiomatique des logica MATHEMATICS -- Set Theory Mengenlehre Teoria dos conjuntos Théorie axiomatique des ensembles

Writers

Dodd, A., (Anthony)

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