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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 Good cover (algebraic topology) ： ウィキペディア英語版 Good cover (algebraic topology) In mathematics, an open cover of a topological space $X$ is a family of open subsets such that $X$ is the union of all of the open sets. In algebraic topology, an open cover is called a good cover if all open sets in the cover and all intersections of finitely many open sets, $U\_\; =\; U\_$, are contractible . The concept was introduced by on differential manifolds, demanding the $U\_$ to be diffeomorphic to the $n$-dimensional Euclidean space $\backslash mathbb^n$. ==Application== A major reason for the notion of a good cover is that the Leray spectral sequence of a fiber bundle degenerates for a good cover, and so the Čech cohomology associated with a good cover is the same as the Čech cohomology of the space. (Such a cover is known as a Leray cover.) 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「Good cover (algebraic topology)」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.