Coverings versus entourages
type: Item
instance of: scholarly article
title: Coverings versus entourages
zbMATH Open document ID: 0887.54024
DOI: 10.1016/S0166-8641(97)00054-0
published in: Topology and its Applications
publication date: 1998-05-10T00:00:00Z
review text: Discussing several metrization theorems, the authors demonstrate the connections between the covering approach and the entourage method. In particular the Arkhangel'skij-Stone, Collins-Roscoe and Frink Metrization Theorems are shown to be equivalent to the Morita `Double-Star' Metrization Theorem. Furthermore they survey a range of uniform concepts generated by entourages, which characterize a wide variety of generalized metric properties.
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54E25
Mathematics Subject Classification ID: 54E99
zbMATH DE Number: 1121454
zbMATH Keywords: covering
zbMATH Keywords: entourage
zbMATH Keywords: metrization
zbMATH Keywords: generalized metric space
author: Pieter Collins
author: Kiiti Morita
reviewed by: Hans Peter Künzi
MaRDI profile type: Publication
cites work: Q3847388
cites work: Q5522002
cites work: Q4316877
cites work: Criteria for Metrisability
cites work: C-complete quasi-uniform spaces
cites work: Spaces defined by sequences of open covers which guarantee that certain sequences have cluster points
cites work: A Contribution to the Theory of Metrization
cites work: All Topologies Come From Generalized Metrics
cites work: Locally quasi-uniform spaces with countable bases
cites work: A set of axioms for plane analysis situs
cites work: On the simple extension of a space with respect to a uniformity, IV
cites work: Quasi-uniformization of topological spaces
cites work: Sequences of coverings
cites work: Locally Uniform Spaces
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description: scientific article; zbMATH DE number 1121454