Cover (topology)
id:
cover-topology-230-2733336
title:
Cover (topology)
text:
In mathematics, and more particularly in set theory, a cover of a set X is a family of subsets of X whose union is all of X. More formally, if C = { U α : α ∈ A } is an indexed family of subsets U α ⊂ X, then C is a cover of X if ⋃ α ∈ A U α ⊇ X. Thus the collection { U α : α ∈ A } is a cover of X if each element of X belongs to at least one of the subsets U α. A subcover of a cover of a set is a subset of the cover that also covers the set. A cover is called an open cover if each of its element
brand slug:
wiki
category slug:
encyclopedia
description:
Subsets whose union equals the whole set
original url:
https://en.wikipedia.org/wiki/Cover_(topology)
date created:
2003-09-13T16:41:21Z
date modified:
2024-09-15T19:01:39Z
main entity:
{"identifier":"Q331481","url":"https://www.wikidata.org/entity/Q331481"}
image:
fields total:
13
integrity:
15