Simple Theories (Paperback, Softcover reprint of hardcover 1st ed. 2000)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 503
Release date:	December 2010
First published:	2000
Authors:	Frank O. Wagner
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	260
Edition:	Softcover reprint of hardcover 1st ed. 2000
ISBN-13:	978-90-481-5417-3
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	90-481-5417-0
Barcode:	9789048154173

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