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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 Čech-to-derived functor spectral sequence ： ウィキペディア英語版 Čech-to-derived functor spectral sequence In algebraic topology, a branch of mathematics, the Čech-to-derived functor spectral sequence is a spectral sequence that relates Čech cohomology of a sheaf and sheaf cohomology. ==Definition== Let $\backslash mathcal$ be a sheaf on a topological space ''X''. Choose an open cover $\backslash mathfrak$ of ''X''. That is, $\backslash mathfrak$ is a set of open subsets of ''X'' which together cover ''X''. Let $\backslash mathcal^q(X,\; \backslash mathcal)$ denote the presheaf which takes an open set ''U'' to the ''q''th cohomology of $\backslash mathcal$ on ''U'', that is, to $H^q(U,\; \backslash mathcal)$. For any presheaf $\backslash mathcal$, let $\backslash check^p(\backslash mathfrak,\; \backslash mathcal)$ denote the ''p''th Čech cohomology of $\backslash mathcal$ with respect to the cover $\backslash mathfrak$. Then the Čech-to-derived functor spectral sequence is: :$E^\_2\; =\; \backslash check^p(\backslash mathfrak,\; \backslash mathcal^q(X,\; \backslash mathcal))\; \backslash Rightarrow\; H^(X,\; \backslash mathcal).$ 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「Čech-to-derived functor spectral sequence」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.