Geometric Stability Theory
Series: Oxford Logic Guides; 32;
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Product details:
- Publisher Clarendon Press
- Date of Publication 12 September 1996
- ISBN 9780198534372
- Binding Hardback
- No. of pages372 pages
- Size 242x162x25 mm
- Weight 671 g
- Language English
- Illustrations line figures 0
Categories
Short description:
An up-to-date, systematic account of the fundamental results of the central areas of model theory (a branch of mathematical logic). The fine structure of models of stable theories is the object of the study, and there are applications to classification theory (such as classifying models of undimensional theories).
MoreLong description:
This book is an exposition of the central features of one of the most developed and sophisticated parts of modern model theory. Geometric stability theory studies the fine structure of models of stable theories. An ever present theme is the existence and structure of definable groups. Fundamental applications to a classification theory are included in the text. Recent years have seen other surprising applications to, among other things, diophantine geometry. This book will be invaluable to anyone interested in modern model theory, such as working model theorists and graduate students in logic.
...a much needed and highly recommended textbook in a beautiful, deep, and actively developing field.
Table of Contents:
Introduction
Stability theory
The classical finite rank theory
Quasi finite axiomatizability
1-based theories and groups
Groups and geometries
Unidimensional theories
Regular types
Superstable theories
Notes on Chapters
References
Index
