...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.
Les mer
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).
Les mer
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
Les mer
`...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
Les mer
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

Produktdetaljer

ISBN
9780198534372
Publisert
1996-09-12
Utgiver
Oxford University Press
Vekt
671 gr
Høyde
242 mm
Bredde
162 mm
Dybde
25 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
372

Forfatter