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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 Boundary parallel ： ウィキペディア英語版 Boundary parallel In mathematics, a closed ''n''-manifold ''N'' embedded in an (''n'' + 1)-manifold ''M'' is boundary parallel (or ∂-parallel, or peripheral) if there is an isotopy of ''N'' onto a boundary component of ''M''. ==An example== Consider the annulus $I\backslash times\; S^1$. Let π denote the projection map :$\backslash pi:I\backslash times\; S^1\backslash rightarrow\; S^1,\backslash qquad(x,z)\backslash mapsto\; z.$ If a circle ''S'' is embedded into the annulus so that π restricted to ''S'' is a bijection, then ''S'' is boundary parallel. (The converse is not true.) If, on the other hand, a circle ''S'' is embedded into the annulus so that π restricted to ''S'' is not surjective, then ''S'' is not boundary parallel. (Again, the converse is not true.) 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「Boundary parallel」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.