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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 Neighbourhood space ： ウィキペディア英語版 Neighbourhood space In topology and related areas of mathematics, a neighbourhood space is a set ''X'' such that for each $x\; \backslash in\; X$ there is an associated neighbourhood system $\backslash mathfrak\_x$. A subset O of a neighbourhood space is called ''open'' if for every $x\; \backslash in\; O$ is a neighbourhood of x. Under this definition the open sets of a neighbourhood space give rise to a topological space. Conversely, every topological space is a neighbourhood space under the usual definition of a neighbourhood in a topological space.〔 ==See also== *neighbourhood 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「Neighbourhood 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.