...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

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.
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An up-to-date, systematic account of the fundamental results of the central areas of model theory (a branch of mathematical logic). The fine structure of models of stable theories is the object of the study, and there are applications to classification theory (such as classifying models of undimensional theories).
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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
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`...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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Wide range of material covered in depth First chapter provides a modern introduction to stability theory
Wide range of material covered in depth First chapter provides a modern introduction to stability theory

Product details

ISBN
9780198534372
Published
1996
Publisher
Oxford University Press
Weight
671 gr
Height
242 mm
Width
162 mm
Thickness
25 mm
Age
P, 06
Language
Product language
Engelsk
Format
Product format
Innbundet
Number of pages
372

Author