Frames with transitive structures
type: Item
instance of: scholarly article
title: Frames with transitive structures
zbMATH Open document ID: 1039.54015
DOI: 10.1023/A:1013372903430
author: W. Hunsaker
author: Jorge Picado
published in: Applied Categorical Structures
publication date: 2002-05-30T00:00:00Z
review text: The purpose of the paper is to give a point-free variant of the theory of (quasi-)uniformities with transitive bases. For this, the authors consider a frame (i.e. a complete lattice satisfying the distributive law \(x\wedge\vee S=\vee\{x\wedge s\mid s\in S\}\) for \(x\in L\), \(S\subset L)\). Now a (quasi-)uniformity with a base of transitive entourages is suitably defined on \(L\) and the properties of this structure are studied.
Mathematics Subject Classification ID: 54E05
Mathematics Subject Classification ID: 06B30
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 54E55
zbMATH DE Number: 1747766
zbMATH Keywords: transitive uniform frames
zbMATH Keywords: quasi-uniform frames
zbMATH Keywords: completion
zbMATH Keywords: compactification
reviewed by: Ákos Császár
MaRDI profile type: Publication
full work available at URL: a:1013372903430
OpenAlex ID: W2200082232
description: scientific article; zbMATH DE number 1747766