Upper set
id:
upper-set-290-18706645
title:
Upper set
text:
In mathematics, an upper set of a partially ordered set is a subset S ⊆ X with the following property: if s is in S and if x in X is larger than s, then x is in S. In other words, this means that any x element of X that is ≥ to some element of S is necessarily also an element of S. The term lower set is defined similarly as being a subset S of X with the property that any element x of X that is ≤ to some element of S is necessarily also an element of S.
brand slug:
wiki
category slug:
encyclopedia
description:
Subset of a preorder that contains all larger elements
original url:
https://en.wikipedia.org/wiki/Upper_set
date created:
date modified:
2023-02-01T14:07:05Z
main entity:
{"identifier":"Q2528262","url":"https://www.wikidata.org/entity/Q2528262"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/4/44/Upset_210div.svg","width":528,"height":415}
fields total:
13
integrity:
15