Geometric Stability Theory

Hardcover | April 30, 1999

byAnand Pillay

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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 graduatestudents in logic.

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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 ...

Anand Pillay is at University of Notre Dame.

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Format:HardcoverDimensions:372 pages, 9.21 × 6.14 × 0.98 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:019853437X

ISBN - 13:9780198534372

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Table of Contents

Introduction1. Stability theory2. The classical finite rank theory3. Quasi finite axiomatizability4. 1-based theories and groups5. Groups and geometries6. Unidimensional theories7. Regular types8. Superstable theoriesNotes on ChaptersReferencesIndex

Editorial Reviews

`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 onthe table of anybody doing research in the fiels'London Mathematical Society Book Reviews 1997