Some nonmetric, first countable, cancellative topological semigroups that are generalized metric spaces
type: Item
instance of: scholarly article
title: Some nonmetric, first countable, cancellative topological semigroups that are generalized metric spaces
zbMATH Open document ID: 0777.54010
DOI: 10.1016/0166-8641(92)90090-M
published in: Topology and its Applications
publication date: 1993-02-18T00:00:00Z
review text: Even though first countable topological groups are metrizable, the behavior of first countable topological semigroups can be quite bad. The author gives examples of non-metrizable first countable cancellative topological semigroups that have one or more of the following properties: quasi-metrizable, locally compact, Moore space, Nagata, paracompact.
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54E20
Mathematics Subject Classification ID: 22A15
Mathematics Subject Classification ID: 54E25
Mathematics Subject Classification ID: 54E30
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 123571
zbMATH Keywords: non-metrizable first countable cancellative topological semigroups
author: Robert W. Heath
reviewed by: Carlos R. Borges
MaRDI profile type: Publication
cites work: On quasi-developable spaces
cites work: On stratifiable spaces
cites work: Direct sums of stratifiable spaces
cites work: Q3676366
cites work: A Note on the Continuity of the Inverse
cites work: C-complete quasi-uniform spaces
cites work: Q3914054
cites work: A Regular Semi-Metric Space for which There is no Semi-Metric Under which all Spheres are Open
cites work: A Paracompact Semi-Metric Space Which is Not an M 3 -Space
cites work: Q5596035
cites work: Q5660882
cites work: Q3469883
cites work: Monotonically Normal Spaces
cites work: Q5723435
cites work: A note on countably compact semigroups
cites work: Q5813193
cites work: Q5784585
cites work: Simultaneous linear extension of Continuous functions
cites work: The box product of countably many metrizable spaces need not be normal
cites work: The structure of topological semigroups
cites work: Q5313768
Wikidata QID: Q127498943
full work available at URL: 0166-8641(92)90090-m
OpenAlex ID: W1982953909
Recommended article: Q4229015
Recommended article: Q3596805
Recommended article: Topological ordered \(C\)- (resp. \(I\)-)spaces and generalized metric spaces
Recommended article: On the topological equivalence of S-metric and cone S-metric spaces
Recommended article: Q3316203
Recommended article: Q3782425
Recommended article: The generalizations of first countable spaces
Recommended article: Q3571680
Recommended article: Q4898316
Recommended article: Q3569679
description: scientific article; zbMATH DE number 123571