Duality theory for distributive lattices
id:
duality-theory-for-distributive-lattices-196-4135633
title:
Duality theory for distributive lattices
text:
In mathematics, duality theory for distributive lattices provides three different representations of bounded distributive lattices via Priestley spaces, spectral spaces, and pairwise Stone spaces. This duality, which is originally also due to Marshall H. Stone, generalizes the well-known Stone duality between Stone spaces and Boolean algebras. Let L be a bounded distributive lattice, and let X denote the set of prime filters of L. For each a ∈ L, let φ+(a) = {x∈ X : a ∈ x}. Then (X,τ+) is a spec
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Duality_theory_for_distributive_lattices
date created:
date modified:
2024-03-06T00:15:53Z
main entity:
{"identifier":"Q5310267","url":"https://www.wikidata.org/entity/Q5310267"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/8/82/DL_Duality.png","width":353,"height":168}
fields total:
13
integrity:
14