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 graduate students in logic.
Rezensionen / Stimmen
...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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Maße
Höhe: 240 mm
Breite: 161 mm
Dicke: 25 mm
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ISBN-13
978-0-19-853437-2 (9780198534372)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
, University of Illinois, USA
Introduction ; 1. Stability theory ; 2. The classical finite rank theory ; 3. Quasi finite axiomatizability ; 4. 1-based theories and groups ; 5. Groups and geometries ; 6. Unidimensional theories ; 7. Regular types ; 8. Superstable theories ; Notes on Chapters ; References ; Index
