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Words near each other
・ Localizer type directional aid
・ Localizing subcategory
・ LocalLabs
・ Locallife
・ Locally acyclic morphism
・ Locally catenative sequence
・ Locally compact field
・ Locally compact group
・ Locally compact quantum group
・ Locally compact space
・ Locally connected space
・ Locally constant function
・ Locally convex topological vector space
・ Locally cyclic group
・ Locally decodable code
Locally discrete collection
・ Locally finite
・ Locally finite collection
・ Locally finite group
・ Locally finite measure
・ Locally finite operator
・ Locally finite poset
・ Locally finite space
・ Locally finite variety
・ Locally Hausdorff space
・ Locally integrable function
・ Locally listed buildings in Crawley
・ Locally nilpotent
・ Locally normal space
・ Locally profinite group


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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)
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