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⋆-quasi-pseudometrics on algebraic structures.

Authors :
SHI-YAO HE
YING-YING JIN
LI-HONG XIE
Source :
Applied General Topology. 2023, Vol. 24 Issue 2, p253-265. 13p.
Publication Year :
2023

Abstract

In this paper, we introduce some concepts of ⋆-(quasi)-pseudometric spaces, and give an example which shows that there is a ⋆-quasipseudometric space which is not a quasi-pseudometric space. We also study the conditions under which ⋆-quasi-pseudometric semitopological groups are paratopological groups or topological groups. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*TOPOLOGICAL groups

Details

Language :
English
ISSN :
15769402
Volume :
24
Issue :
2
Database :
Academic Search Index
Journal :
Applied General Topology
Publication Type :
Academic Journal
Accession number :
176710840
Full Text :
https://doi.org/10.4995/agt.2023.19303