Geometric Stability Theory
Seiten
1996
Clarendon Press (Verlag)
978-0-19-853437-2 (ISBN)
Clarendon Press (Verlag)
978-0-19-853437-2 (ISBN)
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).
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.
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.
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
| Erscheint lt. Verlag | 12.9.1996 |
|---|---|
| Reihe/Serie | Oxford Logic Guides ; 32 |
| Zusatzinfo | line figures |
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 162 x 242 mm |
| Gewicht | 671 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 0-19-853437-X / 019853437X |
| ISBN-13 | 978-0-19-853437-2 / 9780198534372 |
| Zustand | Neuware |
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