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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 Simplicial map ： ウィキペディア英語版 Simplicial map In the mathematical discipline of simplicial homology theory, a simplicial map is a map between simplicial complexes with the property that the images of the vertices of a simplex always span a simplex. Note that this implies that vertices have vertices for images. Simplicial maps are thus determined by their effects on vertices. In particular, there are a finite number of simplicial maps between two given finite simplicial complexes. Simplicial maps induce continuous maps between the underlying polyhedra of the simplicial complexes: one simply extends linearly using barycentric coordinates. Simplicial maps which are bijective are called ''simplicial isomorphisms''. ==Simplicial approximation== Let $f:\; |K|\; \backslash rightarrow\; |L|$ be a continuous map between the underlying polyhedra of simplicial complexes and let us write $\backslash text(v)$ for the star of a vertex. A simplicial map $f\_\backslash triangle\; :K\; \backslash rightarrow\; L$ such that $f(\backslash text(v))\; \backslash subseteq\; \backslash text(f\_\backslash triangle\; (v))$, is called a simplicial approximation to $f$. A simplicial approximation is homotopic to the map it approximates. 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「Simplicial map」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.