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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 Double (manifold) ： ウィキペディア英語版 Double (manifold) In the subject of manifold theory in mathematics, if $M$ is a manifold with boundary, its double is obtained by gluing two copies of $M$ together along their common boundary.〔.〕 Precisely, the double is $M\; \backslash times\; \backslash \; /\; \backslash sim$ where $(x,0)\; \backslash sim\; (x,1)$ for all $x\; \backslash in\; \backslash partial\; M$. Although the concept makes sense for any manifold, and even for some non-manifold sets such as the Alexander horned sphere, the notion of double tends to be used primarily in the context that $\backslash partial\; M$ is non-empty and $M$ is compact. == Doubles bound == Given a manifold $M$, the double of $M$ is the boundary of $M\; \backslash times\; ()$. This gives doubles a special role in cobordism. 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「Double (manifold)」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.