翻訳と辞書 Words near each other ・ ATKV ・ Atithi Tum Kab Jaoge? ・ Atitlán ・ Atitlán grebe ・ ATITool ・ Atiu ・ Atiu swiftlet ・ Atiur Rahman ・ ATIV Software ・ Ativin ・ Atiwa (Ghana parliament constituency) ・ Atiwa District ・ Atiyah ・ Atiyah Abd al-Rahman ・ Atiyah algebroid ・ Atiyah conjecture ・ Atiyah conjecture on configurations ・ Atiyah's Accidents, Compensation and the Law ・ Atiyah–Bott fixed-point theorem ・ Atiyah–Bott formula ・ Atiyah–Hirzebruch spectral sequence ・ Atiyah–Hitchin–Singer theorem ・ Atiyah–Jones conjecture ・ Atiyah–Segal completion theorem ・ Atiyah–Singer index theorem ・ Atiye ・ Atiye Sultan ・ Atiyeh, Khuzestan ・ Atiyya ibn Sa'd ・ Atiyyah Ellison Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Atiyah conjecture ： ウィキペディア英語版 Atiyah conjecture In Mathematics, the Atiyah conjecture is a collective term for a number of statements about restrictions on possible values of $l^2$-Betti numbers. ==History== In 1976 Michael Atiyah introduced $l^2$ -cohomology of manifolds with a free co-compact action of a discrete countable group (e.g. the universal cover of a compact manifold together with the action of the fundamental group by deck transformations.) Atiyah defined also $l^2$-Betti numbers as von Neumann dimensions of the resulting $l^2$-cohomology groups, and computed several examples, which all turned out to be rational numbers. He therefore asked if it is possible for $l^2$-Betti numbers to be irrational. Since then, various researchers asked more refined questions about possible values of $l^2$-Betti numbers, all of which are customarily referred to as "Atiyah conjecture". 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Atiyah conjecture」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.