Simple Theories (Mathematics and Its Applications (closed)) [Hardcover]

Frank O. Wagner (Author)

Book Description

ISBN-10: 0792362217 | ISBN-13: 978-0792362210 | Publication Date: February 23, 2000 | Edition: 1

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.

Product Details

• Hardcover: 272 pages
• Publisher: Kluwer Academic Publishers; 1 edition (February 23, 2000)
• Language: English
• ISBN-10: 0792362217
• ISBN-13: 978-0792362210
• Product Dimensions: 9.5 x 6.5 x 0.7 inches
• Shipping Weight: 1.4 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #3,589,826 in Books (See Top 100 in Books)

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