The Core Model

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

A. Dodd (Author)

9780521285308, Cambridge University Press

Paperback, published 4 March 1982

268 pages
22.8 x 15.2 x 2.2 cm, 0.403 kg

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'.

1. Fine Structure
2. Normal Measures
3. Mice
4. The Core Model
5. The Covering Lemma
6. Larger Core Models

Subject Areas: Mathematics [PB]