Books by A. Dodd

Not content with the idea of a school being contained within four walls and existing only for a few hours every day, Dodd and Konzal know that a school which looks after the complete child exists far beyond its four walls and for the whole 24 hours in each day.

Not content with the idea of a school being contained within four walls and existing only for a few hours every day, Dodd and Konzal know that a school which looks after the complete child exists far beyond its four walls and for the whole 24 hours in each day.

The core model, K, is a generalization of Godel'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'.