Structured frames by Weil entourages
type: Item
instance of: scholarly article
title: Structured frames by Weil entourages
zbMATH Open document ID: 0965.06012
DOI: 10.1023/A:1008713430424
author: Jorge Picado
published in: Applied Categorical Structures
publication date: 2001-02-11T00:00:00Z
review text: Weil's original approach to uniform spaces through entourages of the diagonal and Tukey's via uniform covers are well documented in most books on the subject. On the other hand, in the pointfree context, the study of uniform frames and their generalizations has proceeded through uniform covers. The author of the present paper introduces Weil entourages of a frame as the pointfree analogue of entourages of the diagonal of a set and proceeds to discuss their role in the study of quasi-uniformities, quasi-nearnesses, proximities and infinitesimal relations.
Mathematics Subject Classification ID: 06D22
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 54E05
Mathematics Subject Classification ID: 54E17
zbMATH DE Number: 1563353
zbMATH Keywords: Weil entourages of a frame
zbMATH Keywords: entourages of the diagonal of a set
zbMATH Keywords: quasi-uniformities
zbMATH Keywords: quasi-nearnesses
zbMATH Keywords: proximities
zbMATH Keywords: infinitesimal relations
reviewed by: Michael G. Charalambous
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1563353