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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 finite measure ： ウィキペディア英語版 Locally finite measure In mathematics, a locally finite measure is a measure for which every point of the measure space has a neighbourhood of finite measure. ==Definition== Let (''X'', ''T'') be a Hausdorff topological space and let Σ be a σ-algebra on ''X'' that contains the topology ''T'' (so that every open set is a measurable set, and Σ is at least as fine as the Borel σ-algebra on ''X''). A measure/signed measure/complex measure ''μ'' defined on Σ is called locally finite if, for every point ''p'' of the space ''X'', there is an open neighbourhood ''N''''p'' of ''p'' such that the ''μ''-measure of ''N''''p'' is finite. In more condensed notation, ''μ'' is locally finite if and only if : 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 finite measure」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.