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Simple Theories - Mathematics and Its Applications 503 (Hardback)
  • Simple Theories - Mathematics and Its Applications 503 (Hardback)
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Simple Theories - Mathematics and Its Applications 503 (Hardback)

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£74.99
Hardback 260 Pages / Published: 29/02/2000
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Simplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields, and fields with a generic automorphism. Following Kim's proof of `forking symmetry' which implies a good behaviour of model-theoretic independence, this area of model theory has been a field of intense study. It has necessitated the development of some important new tools, most notably the model-theoretic treatment of hyperimaginaries (classes modulo type-definable equivalence relations). It thus provides a general notion of independence (and of rank in the supersimple case) applicable to a wide class of algebraic structures.
The basic theory of forking independence is developed, and its properties in a simple structure are analyzed. No prior knowledge of stability theory is assumed; in fact many stability-theoretic results follow either from more general propositions, or are developed in side remarks.
Audience: This book is intended both as an introduction to simplicity theory accessible to graduate students with some knowledge of model theory, and as a reference work for research in the field.

Publisher: Springer
ISBN: 9780792362210
Number of pages: 260
Weight: 1250 g
Dimensions: 235 x 155 x 17 mm
Edition: 2000 ed.

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