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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Topological rigidity ： ウィキペディア英語版 Topological rigidity In the mathematical field of topology, a manifold ''M'' is called topologically rigid if every manifold homotopically equivalent to ''M'' is also homeomorphic to ''M''. == Motivation == A central problem in topology is determining when two spaces are the same i.e. homeomorphic or diffeomorphic. Constructing a morphism explicitly is almost always impractical. If we put further condition on one or both spaces (manifolds) we can exploit this additional structure in order to show that the desired morphism must exist. Rigidity theorem is about when a fairly weak equivalence between two manifolds (usually a homotopy equivalence) implies the existence of stronger equivalence homeomorphism, diffeomorphism or isometry. 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「Topological rigidity」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.