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<図書>
Borel equivalence relations : structure and classification

責任表示 Vladimir Kanovei
シリーズ University lecture series ; v. 44
データ種別 図書
出版情報 Providence, R.I. : American Mathematical Society , c2008
本文言語 英語
大きさ x, 240 p. ; 26 cm
概要 With a wide range of unified, and in some cases significantly streamlined proofs of difficult results, including dichotomy theorems, this offers a fresh approach to the theory of Borel equivalence rel...tions and related topics insect theory, ergodic theory, topological dynamics, group theory, combinatorics, functional analysis, and model theory. Kanovei begins with an explanation of the descriptive said he read it back ground, and some theorems of descriptive set theory, then progresses to such topics as Borel ideals, equivalence relations, Borel reducibility of equivalents relations, elementary results, countable equivalence relations, hyperfinite equivalence relations, the first and second dichotomy theorems actions of the infinite symmetric group, turbulent group actions, summable equivalence relations, equalities, pinned equivalence relations, and the production of Borel equivalence relations to Borel ideals. He provides an appendix on Cohen and Gandy-Harrington forcing over countable models. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com) 続きを見る
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所蔵情報



理系図3F 数理独自 KANO/40/1 2008
023212008004703

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Kanoveĭ, V. G. (Vladimir Grigorʹevich)
件 名 LCSH:Equivalence relations (Set theory)
LCSH:Equivalence classes (Set theory)
LCSH:Borel sets
分 類 LCC:QA248
DC22:511.3/22
書誌ID 1001226226
ISBN 9780821844533
NCID BA87295315
巻冊次 ISBN:9780821844533
登録日 2009.09.18
更新日 2017.02.18