Closure operator
id:
closure-operator-265-15352209
title:
Closure operator
text:
In mathematics, a closure operator on a set S is a function cl : P ( S ) → P ( S ) :{\mathcal {P}}(S)\rightarrow {\mathcal {P}}(S)} from the power set of S to itself that satisfies the following conditions for all sets X , Y ⊆ S Closure operators are determined by their closed sets, i.e., by the sets of the form cl(X), since the closure cl(X) of a set X is the smallest closed set containing X. Such families of "closed sets" are sometimes called closure systems or "Moore families". A set togethe
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Closure_operator
date created:
date modified:
2024-04-18T01:33:03Z
main entity:
{"identifier":"Q10564851","url":"https://www.wikidata.org/entity/Q10564851"}
image:
fields total:
13
integrity:
13