Geometric Stability Theory

Erscheinungsjahr 1996
ISBN: 978-0-19-853437-2
Verlag: OUP Oxford

Buch, Englisch, 372 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 722 g

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.

Autoren/Hrsg.

Pillay, Anand

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

- 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