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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 pair ： ウィキペディア英語版 Topological pair In mathematics, more specifically algebraic topology, a pair $(X,A)$ is shorthand for an inclusion of topological spaces $i\backslash colon\; A\backslash hookrightarrow\; X$. Sometimes $i$ is assumed to be a cofibration. A morphism from $(X,A)$ to $(X\text{'},A\text{'})$ is given by two maps $f\backslash colon\; X\backslash rightarrow\; X\text{'}$ and $g\backslash colon\; A\backslash rightarrow\; A\text{'}$ such that $i\text{'}\; \backslash circ\; g\; =f\; \backslash circ\; i$. Pairs come up mainly in homology theory and cohomology theory, where chains in $A$ are made equivalent to 0, when considered as chains in $X$. Heuristically, one often thinks of a pair $(X,A)$ as being akin to the quotient space $X/A$. There is a functor from spaces to pairs, which sends a space $X$ to the pair $(X,\backslash varnothing)$. ==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「Topological pair」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.