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Point-finite collection : ウィキペディア英語版
Point-finite collection
In mathematics, a collection \mathcal of subsets of a topological space X is said to be point finite or a point finite collection if every point of X lies in only finitely many members of \mathcal.〔.〕

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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