翻訳と辞書 Words near each other ・ H-89 ・ H-alpha ・ H-B Woodlawn ・ H-B Woodlawn Chamber Singers ・ H-back ・ H-Bahn ・ H-bar ・ H-Bio ・ H-block ・ H-Blockx ・ H-boat ・ H-Bomb Ferguson ・ H-class battleship proposals ・ H-class blimp ・ H-class submarine ・ H-closed space ・ H-cobordism ・ H-Craft Championship ・ H-dagurinn ・ H-derivative ・ H-Dhami ・ H-drive ・ H-dropping ・ H-E Double Hockey Sticks ・ H-E-B ・ H-E-B Mexico ・ H-Eugene ・ H-factor ・ H-G-W Partners ・ H-Gun 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 H-closed space ： ウィキペディア英語版 H-closed space In mathematics, a topological space ''X'' is said to be H-closed, or Hausdorff closed, or absolutely closed if it is closed in every Hausdorff space containing it as a subspace. This property is a generalization of compactness, since a compact subset of a Hausdorff space is closed. Thus, every compact Hausdorff space is H-closed. The notion of an H-closed space has been introduced in 1924 by P. Alexandroff and P. Urysohn. ==Examples and equivalent formulations== * The unit interval $()$, endowed with the smallest topology which refines the euclidean topology, and contains $Q\; \backslash cap\; ()$ as an open set is H-closed but not compact. * Every regular Hausdorff H-closed space is compact. * A Hausdorff space is H-closed if and only if every open cover has a finite subfamily with dense union. 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「H-closed 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.