翻訳と辞書 Words near each other ・ Monotone ・ Monotone (software) ・ Monotone class theorem ・ Monotone comparative statics ・ Monotone convergence theorem ・ Monotone cubic interpolation ・ Monotone likelihood ratio ・ Monotone polygon ・ Monotone preferences ・ Monotone priority queue ・ Monotones (ballet) ・ Monotonia (album) ・ Monotonic function ・ Monotonic query ・ Monotonic scale ・ Monotonically normal space ・ Monotonicity criterion ・ Monotonicity of entailment ・ Monotonix ・ MONOtono ・ Monotonous (song) ・ Monotonous lark ・ Monotony Fields ・ Monotopion ・ MonoTorrent ・ Monotosh Ghosh ・ Monotosh Roy ・ Monotown ・ Monotrace (automobile) ・ Monotract 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 Monotonically normal space ： ウィキペディア英語版 Monotonically normal space In mathematics, a monotonically normal space is a particular kind of normal space, with some special characteristics, and is such that it is hereditarily normal, and any two separated subsets are strongly separated. They are defined in terms of a monotone normality operator. A $T\_1$ topological space $(X,\backslash mathcal\; T)$ is said to be ''monotonically normal'' if the following condition holds: For every $x\backslash in\; G$, where G is open, there is an open set $\backslash mu(x,G)$ such that #$x\backslash in\backslash mu(x,G)\backslash subseteq\; G$ #if $\backslash mu(x,G)\backslash cap\backslash mu(y,H)\backslash neq\backslash emptyset$ then either $x\backslash in\; H$ or $y\backslash in\; G$. There are some equivalent criteria of monotone normality. ==Equivalent definitions== 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「Monotonically normal space」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.