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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 Cofibration ： ウィキペディア英語版 Cofibration In mathematics, in particular homotopy theory, a continuous mapping :$i\backslash colon\; A\; \backslash to\; X$, where ''A'' and ''X'' are topological spaces, is a cofibration if it satisfies the homotopy extension property with respect to all spaces ''Y''. The name is because the dual condition, the homotopy lifting property, defines fibrations. For a more general notion of cofibration see the article about model categories. ==Basic theorems== *For Hausdorff spaces a cofibration is a closed inclusion (injective with closed image); for suitable spaces, a converse holds *Every map can be replaced by a cofibration via the mapping cylinder construction * There is a cofibration (''A'', ''X''), if and only if there is a retraction from ::$X\; \backslash times\; I$ :to ::$(A\; \backslash times\; I)\; \backslash cup\; (X\; \backslash times\; \backslash )$, since this is the pushout and thus induces maps to every space sensible in the diagram. 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「Cofibration」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.