A quasi-metric space without complete quasi-uniformity
type: Item
instance of: scholarly article
title: A quasi-metric space without complete quasi-uniformity
zbMATH Open document ID: 0854.54027
DOI: 10.1016/0166-8641(96)88666-4
published in: Topology and its Applications
publication date: 1996-07-03T00:00:00Z
review text: The authors construct a quasi-metrizable space that does not admit a complete quasi-uniformity. They achieve the construction by defining an interesting space \(X\) and then showing that certain extensions of \(X\) do not admit a complete quasi-uniformity. Since their space does not satisfy the Hausdorff axiom, it remains an open question whether every regular quasi-metrizable space admits a complete quasi-uniformity.
Mathematics Subject Classification ID: 54E15
zbMATH DE Number: 896615
zbMATH Keywords: quasi-metrizable space
zbMATH Keywords: complete quasi-uniformity
author: Hans Peter Künzi
author: Stephen Watson
reviewed by: William F. Lindgren
MaRDI profile type: Publication
full work available at URL: 0166-8641(96)88666-4
OpenAlex ID: W2063107685
cites work: A Topological Space without a Complete Quasi-Uniformity
cites work: Extension properties induced by complete quasi-uniformities
cites work: C-complete quasi-uniform spaces
cites work: Q3852172
cites work: Q4326507
description: scientific article; zbMATH DE number 896615