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  1. Home
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  3. The Core Model
  • Cited by 57
Publisher:
Cambridge University Press
Online publication date:
August 2010
Print publication year:
1982
Online ISBN:
9780511600586
DOI:
https://doi.org/10.1017/CBO9780511600586
Subjects:
Mathematics (general), Mathematics, Logic, Categories and Sets
Series:
London Mathematical Society Lecture Note Series (61)
Information

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'.

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