翻訳と辞書 Words near each other ・ Metriorhynchidae ・ Metriorhynchinae ・ Metriorhynchoidea ・ Metriorhynchus ・ Metriorrhynchus ・ Metriotes ・ Metriotes jaeckhi ・ Metriotes lutarea ・ Metrioxenini ・ Metris Prison ・ Metristepe, Bozüyük ・ Metritis ・ Metrius ・ Metrix UK ・ Metrizamide ・ Metrization theorem ・ Metrizoic acid ・ Metriš ・ Metro ・ Metro (1997 film) ・ Metro (2013 film) ・ Metro (Belfast) ・ Metro (Belgian newspaper) ・ Metro (British newspaper) ・ Metro (department store) ・ Metro (design language) ・ Metro (Dutch newspaper) ・ Metro (Hungarian band) ・ Metro (Indonesia) ・ Metro (Italian newspaper) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Metrization theorem ： ウィキペディア英語版 Metrization theorem In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space. That is, a topological space $(X,\backslash tau)$ is said to be metrizable if there is a metric :$d\backslash colon\; X\; \backslash times\; X\; \backslash to\; [0,\backslash infty)$ such that the topology induced by ''d'' is $\backslash tau$. Metrization theorems are theorems that give sufficient conditions for a topological space to be metrizable. ==Properties== Metrizable spaces inherit all topological properties from metric spaces. For example, they are Hausdorff paracompact spaces (and hence normal and Tychonoff) and first-countable. However, some properties of the metric, such as completeness, cannot be said to be inherited. This is also true of other structures linked to the metric. A metrizable uniform space, for example, may have a different set of contraction maps than a metric space to which it is homeomorphic. 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「Metrization theorem」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.