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Point-finite collection : ウィキペディア英語版 | Point-finite collection In mathematics, a collection of subsets of a topological space is said to be point finite or a point finite collection if every point of lies in only finitely many members of .〔.〕 A topological space in which every open cover admits a point-finite open refinement is called metacompact. Every locally finite collection of subsets of a topological space is also point finite. A topological space in which every open cover admits a locally finite open refinement is called paracompact. Every paracompact space is metacompact.〔 ==References==
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「Point-finite collection」の詳細全文を読む
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