Geometric Stability Theory

By: Anand Pillay

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Hardcover | 12 September 1996

At a Glance

Hardcover
372 Pages

Dimensions(cm)
23.39 x 15.6 x 2.24

Hardcover

$157.25

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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.

Industry Reviews

`...a much needed and highly recommended textbook in a beautiful, deep, and actively developing field.' Zentralblatt fuer Mathematik 871/97 `Pillay's book...is definately not a textbook, and is aimed at the advanced graduate student and the researcher in the field....................it is a marvellous book which contains almost all the deep results and difficult machinery in the subject................Pillay's book should be on the table of anybody doing research in the fiels' London Mathematical Society Book Reviews 1997

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