Completeness using pairs of filters
type: Item
instance of: scholarly article
title: Completeness using pairs of filters
zbMATH Open document ID: 0770.54027
DOI: 10.1016/0166-8641(92)90087-G
published in: Topology and its Applications
publication date: 1993-02-18T00:00:00Z
review text: The authors investigate three kinds of completeness in quasi-uniform \(T_ 1\)-spaces: \(D\)-completeness, strong \(D\)-completeness, and pair completeness (=bicompleteness). In particular these properties are studied in the class of uniformly regular quasi-uniform spaces. Among other things they show that those three concepts of completeness agree in a uniform space or in any equinormal uniformly regular quasi- uniform space.
reviewed by: Hans Peter Künzi
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 54E52
zbMATH DE Number: 123568
zbMATH Keywords: quiet space
zbMATH Keywords: bicompleteness
zbMATH Keywords: \(D\)-completeness
zbMATH Keywords: pair completeness
zbMATH Keywords: quasi- uniform space
author: P. Fletcher
author: W. Hunsaker
MaRDI profile type: Publication
cites work: Extensions of quasi-uniformities
cites work: Q3794877
cites work: On completeness in quasi-metric spaces
cites work: A concept of completeness of quasi-uniform spaces
cites work: Uniformly regular quasi-uniformities
cites work: C-complete quasi-uniform spaces
cites work: Compactifications of totally bounded quasi-uniform spaces
cites work: A Construction of the Pair Completion of a Quasi-Uniform Space
cites work: Q4162178
Wikidata QID: Q126297087
description: scientific article; zbMATH DE number 123568