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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 Shelling (topology) ： ウィキペディア英語版 Shelling (topology) In mathematics, a shelling of a simplicial complex is a way of gluing it together from its maximal simplices (simplices that are not a face of another simplex) in a well-behaved way. A complex admitting a shelling is called shellable. ==Definition== A ''d''-dimensional simplicial complex is called pure if its maximal simplices all have dimension ''d''. Let $\backslash Delta$ be a finite or countably infinite simplicial complex. An ordering $C\_1,C\_2,\backslash ldots$ of the maximal simplices of $\backslash Delta$ is a shelling if the complex $B\_k:=\backslash left(\backslash bigcup\_^C\_i\backslash right)\backslash cap\; C\_k$ is pure and $(\backslash dim\; C\_k-1)$-dimensional for all $k=2,3,\backslash ldots$. That is, the "new" simplex $C\_k$ meets the previous simplices along some union $B\_k$ of top-dimensional simplices of the boundary of $C\_k$. If $B\_k$ is the entire boundary of $C\_k$ then $C\_k$ is called spanning. For $\backslash Delta$ not necessarily countable, one can define a shelling as a well-ordering of the maximal simplices of $\backslash Delta$ having analogous properties. 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「Shelling (topology)」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.