The Core Model

The core model K is a generalization of Gdel''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''.