Duality (order theory)
id:
duality-order-theory-272-7113903
title:
Duality (order theory)
text:
In the mathematical area of order theory, every partially ordered set P gives rise to a dual partially ordered set which is often denoted by Pop or Pd. This dual order Pop is defined to be the same set, but with the inverse order, i.e. x ≤ y holds in Pop if and only if y ≤ x holds in P. It is easy to see that this construction, which can be depicted by flipping the Hasse diagram for P upside down, will indeed yield a partially ordered set. In a broader sense, two partially ordered sets are also
brand slug:
wiki
category slug:
encyclopedia
description:
Term in the mathematical area of order theory
original url:
https://en.wikipedia.org/wiki/Duality_(order_theory)
date created:
date modified:
2023-09-21T00:47:13Z
main entity:
{"identifier":"Q554403","url":"https://www.wikidata.org/entity/Q554403"}
image:
fields total:
13
integrity:
14