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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 Sub-Stonean space ： ウィキペディア英語版 Sub-Stonean space In topology, a sub-Stonean space is a locally compact Hausdorff space such that any two open σ-compact disjoint subsets have disjoint compact closures. Related, an F-space, introduced by , is a completely regular Hausdorff space for which every finitely generated ideal of the ring of real-valued continuous functions is principal, or equivalently every real-valued continuous function ''f'' can be written as ''f'' = ''g'' ''|f|'' for some real-valued continuous function ''g''. When dealing with compact spaces, the two concepts are the same, but in general, the concepts are different. The relationship between the sub-Stonean spaces and F-space is studied in Henriksen and Woods, 1989. ==Examples== Rickart spaces and the corona sets of locally compact σ-compact Hausdorff spaces are sub-Stonean spaces. 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「Sub-Stonean 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.