Collectionwise Hausdorff space

id: collectionwise-hausdorff-space-316-8609855
title: Collectionwise Hausdorff space
text: In mathematics, in the field of topology, a topological space X is said to be collectionwise Hausdorff if given any closed discrete subset of X , there is a pairwise disjoint family of open sets with each point of the discrete subset contained in exactly one of the open sets. Here a subset S ⊆ X being discrete has the usual meaning of being a discrete space with the subspace topology.
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category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Collectionwise_Hausdorff_space
date created:
date modified: 2023-08-29T09:30:47Z
main entity: {"identifier":"Q5146121","url":"https://www.wikidata.org/entity/Q5146121"}
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fields total: 13
integrity: 13

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