翻訳と辞書 Words near each other ・ Essential factors model ・ Essential fatty acid ・ Essential fatty acid interactions ・ Essential fish habitat ・ Essential Foods ・ Essential fructosuria ・ Essential gene ・ Essential Glastonbury ・ Essential health benefits ・ Essential hypertension ・ Essential Information ・ Essential Killing ・ Essential Leo Kottke ・ Essential Living Fund ・ Essential Logic ・ Essential manifold ・ Essential Marvel ・ Essential matrix ・ Essential Media and Entertainment ・ Essential medicines ・ Essential medicines policies ・ Essential Mix ・ Essential Mixes ・ Essential Monet ・ Essential monomorphism ・ Essential Montreux ・ Essential Music & Marketing ・ Essential Musicals ・ Essential National Industries (Employment) Decree 2011 ・ Essential nutrient 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 Essential manifold ： ウィキペディア英語版 Essential manifold Essential manifold a special type of closed manifolds. The notion was first introduced explicitly by Mikhail Gromov.〔Gromov, M.: Filling Riemannian manifolds, J. Diff. Geom. 18 (1983), 1–147.〕 ==Definition== A closed manifold ''M'' is called essential if its fundamental class () defines a nonzero element in the homology of its fundamental group ''π'', or more precisely in the homology of the corresponding Eilenberg–MacLane space ''K''(''π'', 1), via the natural homomorphism :$H\_n(M)\backslash to\; H\_n(K(\backslash pi,1))$, where ''n'' is the dimension of ''M''. Here the fundamental class is taken in homology with integer coefficients if the manifold is orientable, and in coefficients modulo 2, otherwise. 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「Essential manifold」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.