LMS: 61 The Core Model

LMS: 61 The Core Model book cover

LMS: 61 The Core Model

Author(s): A. Dodd (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 21 Aug. 2008
  • Language: English
  • Print length: 268 pages
  • ISBN-10: 0521285305
  • ISBN-13: 9780521285308

Book Description

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’.

Editorial Reviews

Book Description

This book aims to introduce the core model to those with a basic knowledge of axiomatic set theory.

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