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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 Wallman compactification ： ウィキペディア英語版 Wallman compactification In mathematics, the Wallman compactification is a compactification of T1 topological spaces that was constructed by . ==Definition== The points of the Wallman compactification ω''X'' of a space ''X'' are the maximal proper filters in the poset of closed subsets of ''X''. Explicitly, a point of ω''X'' is a family $\backslash mathcal\; F$ of closed nonempty subsets of ''X'' such that $\backslash mathcal\; F$ is closed under finite intersections, and is maximal among those families that have these properties. For every closed subset ''F'' of ''X'', the class Φ''F'' of points of ω''X'' containing ''F'' is closed in ω''X''. The topology of ω''X'' is generated by these closed classes. 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「Wallman compactification」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.