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Locally discrete collection : ウィキペディア英語版 | Locally discrete collection In mathematics, particularly topology, collections of subsets are said to be locally discrete if they look like they have precisely one element from a local point of view. The study of locally discrete collections is worthwhile as Bing's metrization theorem shows. ==Formal definition==
Let ''X'' be a topological space. A collection of subsets of ''X'' is said to be locally discrete, if each point of the space has a neighbourhood intersecting at most one element of the collection. A collection of subsets of ''X'' is said to be countably locally discrete, if it is the countable union of locally discrete collections.
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 discrete collection」の詳細全文を読む
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