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★-quasi-pseudometrics on algebraic structures

Authors :
Shi-Yao He
Ying-Ying Jin
Li-Hong Xie
Source :
Applied General Topology, Vol 24, Iss 2, Pp 253-265 (2023)
Publication Year :
2023
Publisher :
Universitat Politècnica de València, 2023.

Abstract

In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric 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.

Details

Language :
English
ISSN :
15769402 and 19894147
Volume :
24
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Applied General Topology
Publication Type :
Academic Journal
Accession number :
edsdoj.fd3db4dbcb4410b05813c3221e7227
Document Type :
article
Full Text :
https://doi.org/10.4995/agt.2023.19303