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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 Cocycle category ： ウィキペディア英語版 Cocycle category In category theory, a branch of mathematics, the cocyle category of objects ''X'', ''Y'' in a model category is a category in which the objects are pairs of maps $X\; \backslash overset\backslash leftarrow\; Z\; \backslash overset\backslash rightarrow\; Y$ and the morphisms are obvious commutative diagrams between them. It is denoted by $H(X,\; Y)$. (It may also be defined using the language of 2-category.) One has: if the model category is right proper and is such that weak equivalences are closed under finite products, :$\backslash pi\_0\; H(X,\; Y)\; \backslash to\; (Y),\; \backslash quad\; (f,\; g)\; \backslash mapsto\; g\; \backslash circ\; f^$ is bijective. == 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「Cocycle category」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.