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OverviewThis 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. Full Product DetailsAuthor: Anand Pillay (, University of Illinois, USA)Publisher: Oxford University Press Imprint: Clarendon Press Volume: 32 Dimensions: Width: 16.20cm , Height: 2.50cm , Length: 24.20cm Weight: 0.671kg ISBN: 9780198534372ISBN 10: 019853437 Pages: 372 Publication Date: 12 September 1996 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsIntroduction 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 IndexReviewsA nice introduction to the latest achievements of geometric model theory (Lie coordinatizable structures and simple theories). . . .The book should be on the bookshelf of anyone with an interest in stability theory. It is written in an elegant and enjoyable manner and can be recommended even to undergraduates who have already learnt the basic facts of model theory. --Mathematical Reviews<br> The subject of the book is at the very heart of modern model theory, and is close in spirit to what should be called foundations of mathematics. Geometric stability theory as presented in this book, concentrates on the basic structural properties of stable structures. The principal tools for characterizing stable structures are various dimensions (ranks) and special geometric configurations. The choice of the material for this book is, in my opinion, exactly optimal. The language and the proofs are very clear. I would recommend the book for postgraduate students specializing in model theory and for all those who would like to deepen their expertise in modern model theory and its application. -Boris Zil'ber, The Journal of Sumbolic Logic, Vol 63, No. 3, Sept 1998<br> <br> A nice introduction to the latest achievements of geometric model theory (Lie coordinatizable structures and simple theories). . . .The book should be on the bookshelf of anyone with an interest in stability theory. It is written in an elegant and enjoyable manner and can be recommended even to undergraduates who have already learnt the basic facts of model theory. --Mathematical Reviews<br> The subject of the book is at the very heart of modern model theory, and is close in spirit to what should be called foundations of mathematics. Geometric stability theory as presented in this book, concentrates on the basic structural properties of stable structures. The principal tools for characterizing stable structures are various dimensions (ranks) and special geometric configurations. The choice of the material for this book is, in my opinion, exactly optimal. The language and the proofs are very clear. I would recommend the book for postgraduate students specializing in model theory a Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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