Least-upper-bound property
id:
least-upper-bound-property-204-7793373
title:
Least-upper-bound property
text:
In mathematics, the least-upper-bound property is a fundamental property of the real numbers. More generally, a partially ordered set X has the least-upper-bound property if every non-empty subset of X with an upper bound has a least upper bound (supremum) in X. Not every (partially) ordered set has the least upper bound property. For example, the set Q of all rational numbers with its natural order does not have the least upper bound property. The least-upper-bound property is one form of the c
brand slug:
wiki
category slug:
encyclopedia
description:
Property of a partially ordered set
original url:
https://en.wikipedia.org/wiki/Least-upper-bound_property
date created:
2009-03-18T19:33:03Z
date modified:
2024-09-09T22:00:50Z
main entity:
{"identifier":"Q1254734","url":"https://www.wikidata.org/entity/Q1254734"}
image:
fields total:
13
integrity:
15