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Simple Theories (Hardcover, 2000 ed.)
Loot Price: R1,678
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Simple Theories (Hardcover, 2000 ed.)
Series: Mathematics and Its Applications, 503
Expected to ship within 10 - 15 working days
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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.
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