This book gives an account of the fundamental results in geometric stability theory, a subject that has grown out of categoricity and classification theory. This approach studies the fine structure of models of stable theories, using the geometry of forking; this often achieves global results relevant to classification theory. Topics range from Zilber-Cherlin classification of infinite locally finite homogenous geometries, to regular types, their geometries, and their role in superstable theories. The structure and existence of definable groups is featured prominently, as is work by Hrushovski. The book is unique in the range and depth of material covered and will be invaluable to anyone interested in modern model theory.

• 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