Upper topology
id:
upper-topology-287-15544246
title:
Upper topology
text:
In mathematics, the upper topology on a partially ordered set X is the coarsest topology in which the closure of a singleton { a } is the order section a ] = { x ≤ a } for each a ∈ X . If ≤ is a partial order, the upper topology is the least order consistent topology in which all open sets are up-sets. However, not all up-sets must necessarily be open sets. The lower topology induced by the preorder is defined similarly in terms of the down-sets. The preorder inducing the upper topology is its s
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Upper_topology
date created:
date modified:
2022-12-02T21:44:49Z
main entity:
{"identifier":"Q7899053","url":"https://www.wikidata.org/entity/Q7899053"}
image:
fields total:
13
integrity:
13