The Core Model

• Author(s): A. Dodd,
• Publisher: Cambridge University Press
• Pages: 229
• ISBN_10: 0521285305
  ISBN_13: 9780521285308
  
• Language: en
• Categories: Mathematics / General , Mathematics / Logic , Mathematics / Set Theory , Mathematics / Combinatorics ,

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'.