翻訳と辞書 Words near each other ・ 5-Hydroxyisourate ・ 5-Hydroxymaltol ・ 5-Hydroxymethylcytosine ・ 5-hydroxypentanoate CoA-transferase ・ 5-Hydroxytryptophan ・ 5-Hydroxyuracil ・ 5-I-R91150 ・ 5-IAI ・ 5-in-1 blank cartridge ・ 5-in-1 ration ・ 5-Inch Forward Firing Aircraft Rocket ・ 5-inch gun ・ 5-Iodowillardiine ・ 5-IT ・ 5-lipoxygenase-activating protein ・ 5-manifold ・ 5-MAPB ・ 5-MAPDB ・ 5-MAPDI ・ 5-MeO-2-TMT ・ 5-MeO-AET ・ 5-MeO-aMT ・ 5-MeO-DALT ・ 5-MeO-DET ・ 5-MeO-DiBF ・ 5-MeO-DMT ・ 5-MeO-DPT ・ 5-MeO-EiPT ・ 5-MeO-MALT ・ 5-MeO-MiPT 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 5-manifold ： ウィキペディア英語版 5-manifold In mathematics, a 5-manifold is a 5-dimensional topological manifold, possibly with a piecewise linear or smooth structure. Non-simply connected 5-manifolds are impossible to classify, as this is harder than solving the word problem for groups.〔.〕 Simply connected compact 5-manifolds were first classified by Dennis Barden〔D. Barden, (''Simply Connected Five-Manifolds'' ) The Annals of Mathematics > 2nd Ser., Vol. 82, No. 3 (Nov., 1965), pp. 365-385.〕 and another proof was later given by A. V. Zhubr. Rather surprisingly, this turns out to be easier than the 3- or 4-dimensional case: the 3-dimensional case is the Thurston geometrisation conjecture, and the 4-dimensional case was solved by Freedman (1982) in the topological case, but is a very hard unsolved problem in the smooth case. Indeed, in dimension 5 smooth classification is governed by classical algebraic topology, namely, two simply connected 5-manifolds are diffeomorphic if and only if there exists an isomorphism of their second homology groups with integer coefficients, preserving linking form and the second Stiefel–Whitney class. Moreover any such isomorphism is induced by some diffeomorphism. ==References== 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「5-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.