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<図書>
Classification theory and the number of non-isomorphic models

責任表示 S. Shelah
シリーズ Studies in logic and the foundations of mathematics ; v. 92
データ種別 図書
Rev. ed
出版情報 Amsterdam ; Tokyo : North-Holland
New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. , 1990
本文言語 英語
大きさ xxxiv, 705 p. ; 24 cm
概要 In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as vari...us corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of m M . This theorem is also the subject of Chapter XIII. 続きを見る

所蔵情報



理系図3F 数理独自 SHEL/10/1a c1990
023211999002761

書誌詳細

一般注記 Includes bibliographical references (p. 684-690) and indexes
著者標目 *Shelah, Saharon, 1945-
件 名 LCSH:Model theory
分 類 LCC:QA9.7
DC20:511/.8
書誌ID 1001398333
ISBN 0444702601
NCID BA11408403
巻冊次 ISBN:0444702601
登録日 2009.11.02
更新日 2009.11.02

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