Entourages, covers and localic groups
type: Item
instance of: scholarly article
title: Entourages, covers and localic groups
zbMATH Open document ID: 1277.06005
author: Jorge Picado
author: A. Pultr
published in: Applied Categorical Structures
publication date: 2013-02-01T00:00:00Z
full work available at URL: http://hdl.handle.net/10316/43784
review text: The paper discusses two approaches to uniformities on locales: via entourages and via covers. It is proved that the two resulting categories are concretely isomorphic. Then entourage and cover uniformities, induced by the group structure, on localic groups are examined in detail. Using the equivalence of these uniformities it is proved that a homomorphism of localic groups is uniform.
reviewed by: Ganna Kudryavtseva
Mathematics Subject Classification ID: 06D22
Mathematics Subject Classification ID: 18B30
Mathematics Subject Classification ID: 18D35
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 54E15
zbMATH DE Number: 6133824
zbMATH Keywords: frame coproduct
zbMATH Keywords: localic product
zbMATH Keywords: cover
zbMATH Keywords: entourage uniformity
zbMATH Keywords: cover uniformity
zbMATH Keywords: localic group
zbMATH Keywords: uniformities on locales
MaRDI profile type: Publication
OpenAlex ID: W2114080794
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DOI: 10.1007/S10485-011-9254-3
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description: scientific article; zbMATH DE number 6133824