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Geometric Stability Theory

Posted on 2010-04-09




Name:Geometric Stability Theory
ASIN/ISBN:019853437X
Language:English
File size:14.9 Mb
Publisher: Oxford University Press
ISBN: 019853437X
Publish Date: edition 1996
File Type: PDF
Pages: 376 pages
File Size: 14,9 mb
   Geometric Stability Theory

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This book gives an account of the fundamental results in , a subject that has grown out of categoricity theory 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.

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