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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 Pachner moves ： ウィキペディア英語版 Pachner moves In topology, a branch of mathematics, Pachner moves, named after Udo Pachner, are ways of replacing a triangulation of a piecewise linear manifold by a different triangulation of a homoeomorphic manifold. Pachner moves are also called bistellar flips. Any two triangulations of a piecewise linear manifold are related by a finite sequence of Pachner moves. == Definition == Let $\backslash Delta\_$ be the $(n+1)$-simplex. $\backslash partial\; \backslash Delta\_$ is a combinatorial ''n''-sphere with its triangulation as the boundary of the ''n+1''-simplex. Given a triangulated piecewise linear ''n''-manifold $N$, and a co-dimension ''0'' subcomplex $C\; \backslash subset\; N$ together with a simplicial isomorphism $\backslash phi\; :\; C\; \backslash to\; C\text{'}\; \backslash subset\; \backslash partial\; \backslash Delta\_$, the Pachner move on ''N'' associated to ''C'' is the triangulated manifold $(N\; \backslash setminus\; C)\; \backslash cup\_\backslash phi\; (\backslash partial\; \backslash Delta\_\; \backslash setminus\; C\text{'})$. By design, this manifold is PL-isomorphic to $N$ but the isomorphism does not preserve the triangulation. 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「Pachner moves」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.