Articles liés à Geometric Stability Theory

Geometric Stability Theory - Couverture rigide

Pillay, Anand

 
9780198534372: Geometric Stability Theory

Synopsis

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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Présentation de l'éditeur

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.

Revue de presse

...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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