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Compact spaces and distributive lattices

Journal article
Authors Thierry Coquand
Published in Journal of Pure and Applied Algebra
Volume 184
Issue 1
Pages 1-6
ISSN 0022-4049
Publication year 2003
Published at Department of Computer Science and Engineering, Computing Science, Programming Logic
Pages 1-6
Language en
Subject categories Computer and Information Science


This note presents a general construction connecting compact locales and distributive lattices, that allows us to reduce results about compactness of locales to theorems about distributive lattices. Two applications are given. One noteworthy feature of our arguments is that they can be formulated both in topos theory and in a predicative theory such as CZF.

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