Centered set
id:
centered-set-258-10995062
title:
Centered set
text:
In mathematics, in the area of order theory, an upwards centered set S is a subset of a partially ordered set, P, such that any finite subset of S has an upper bound in P. Similarly, any finite subset of a downwards centered set has a lower bound. An upwards centered set can also be called a consistent set. Any directed set is necessarily centered, and any centered set is a linked set. A subset B of a partial order is said to be σ-centered if it is a countable union of centered sets.
brand slug:
wiki
category slug:
encyclopedia
description:
Order theory
original url:
https://en.wikipedia.org/wiki/Centered_set
date created:
date modified:
2022-12-15T20:45:49Z
main entity:
{"identifier":"Q5060033","url":"https://www.wikidata.org/entity/Q5060033"}
image:
fields total:
13
integrity:
14