ENGLISH

Geometric Stability Theory

By Anand Pillay

Book information

Publisher
Oxford University Press, USA
Year
1996
ISBN
019853437X, 9780198534372
LCC
QA9.7 .P54 1996
Language
english
Format
PDF
Filesize
17 MB (17826789 bytes)
Series
Oxford Logic Guides 32
Pages
371\371
Topic
Mathematics Logic
Orientation
no
Scanned
yes
Time added
2012-02-04 16:00:00

Description

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.

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