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<図書>
Simple theories

責任表示 by Frank O. Wagner
シリーズ Mathematics and its applications ; v. 503
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic
出版年 c2000
本文言語 英語
大きさ xi, 260 p. ; 25 cm
概要 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. Followi...g 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. 続きを見る

所蔵情報


理系図3F 数理独自 023212001000998 WAGN/10/2 2000

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Wagner, Frank O. (Frank Olaf), 1964-
書誌ID 1001389272
ISBN 0792362217
NCID BA46510042
巻冊次 ISBN:0792362217
登録日 2009.11.02
更新日 2009.11.02