Geometric stability theory / Anand Pillay.

Format:

Book

Author/Creator:

Pillay, Anand.

Contributor:

Rosengarten Family Fund.

Series:

Oxford logic guides ; 32.

Oxford logic guides ; 32

Language:

English

Subjects (All):

Model theory.

Physical Description:

x, 361 pages ; 24 cm.

Place of Publication:

Oxford : Clarendon Press ; New York : Oxford University Press, 1996.

Summary:

This book gives an account of the fundamental results in geometric stability theory, a subject that has grown out of categoricity and classification theory. This approach studies the fine structure of models of stable theories, using the geometry of forking; this often achieves global results relevant to classification theory. Topics range from Zilber-Cherlin classification of infinite locally finite homogenous geometries, to regular types, their geometries, and their role in superstable theories. The structure and existence of definable groups is featured prominently, as is work by Hrushovski. The book is unique in the range and depth of material covered and will be invaluable to anyone interested in modern model theory.

Notes:

Includes bibliographical references (pages 352-358) and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Rosengarten Family Fund.

ISBN:

019853437X

OCLC:

34590953