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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 Topological complexity ： ウィキペディア英語版 Topological complexity In mathematics, topological complexity of a topological space ''X'' (also denoted by TC(''X'')) is a topological invariant closely connected to the motion planning problem, introduced by Michal Farber in 2003. == Definition == Let ''X'' be a topological space and $PX=\backslash$ be the space of all continuous paths in ''X''. Define the projection $\backslash pi:\; PX\backslash to\backslash ,X\backslash times\; X$ by $\backslash pi(\backslash gamma)=(\backslash gamma(0),\; \backslash gamma(1))$. The topological complexity is the minimal number ''k'' such that *there exists an open cover $\backslash \_^k$ of $X\backslash times\; X$, *for each $i=1,\backslash ldots,k$, there exists a local section $s\_i:\backslash ,U\_i\backslash to\backslash ,\; PX.$ 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「Topological complexity」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.