The Core Model

Erscheinungsjahr 2007
ISBN: 978-0-521-28530-8
Verlag: Cambridge University Press

Buch, Englisch, Band 61, 268 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 440 g

Reihe: London Mathematical Society Lecture Note Series

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'.

Autoren/Hrsg.

Dodd, A.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Inhaltsverzeichnis

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