Synopsis : The Core Model written by A. Dodd, published by Cambridge University Press which was released on 04 March 1982. Download The Core Model Books now! Available in PDF, EPUB, Mobi Format.
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'.