Simple Theories (Mathematics and Its Applications) pdf epub mobi txt 電子書下載 2024

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Frank O. Wagner

Kluwer Academic Publishers

2000-02-23

272

USD 129.00

Hardcover

9780792362210

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发表于2024-11-24

Simple Theories (Mathematics and Its Applications) epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Simple Theories (Mathematics and Its Applications) pdf epub mobi txt 電子書下載 2024

圖書描述

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.

Simple Theories (Mathematics and Its Applications) 下載 mobi epub pdf txt 電子書