Locally finite collection

id: locally-finite-collection-182-2616117
title: Locally finite collection
text: A collection of subsets of a topological space X is said to be locally finite if each point in the space has a neighbourhood that intersects only finitely many of the sets in the collection. In the mathematical field of topology, local finiteness is a property of collections of subsets of a topological space. It is fundamental in the study of paracompactness and topological dimension. Note that the term locally finite has different meanings in other mathematical fields.
brand slug: wiki
category slug: encyclopedia
description: Topological concept
original url: https://en.wikipedia.org/wiki/Locally_finite_collection
date created: 2007-06-05T17:53:35Z
date modified: 2024-09-06T08:44:13Z
main entity: {"identifier":"Q643300","url":"https://www.wikidata.org/entity/Q643300"}
image:
fields total: 13
integrity: 15

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