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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 Locally regular space ： ウィキペディア英語版 Locally regular space In mathematics, particularly topology, a topological space ''X'' is locally regular if intuitively it looks locally like a regular space. More precisely, a locally regular space satisfies the property that each point of the space belongs to an open subset of the space that is regular under the subspace topology. ==Formal definition== A topological space ''X'' is said to be locally regular if and only if each point, ''x'', of ''X'' has a neighbourhood that is regular under the subspace topology. Equivalently, a space ''X'' is locally regular if and only if the collection of all open sets that are regular under the subspace topology forms a base for the topology on ''X''. 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「Locally regular 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.