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*-quasi-pseudometrics on algebraic structures

Shi-Yao He,Ying-Ying Jin,Li-Hong Xie

APPLIED GENERAL TOPOLOGY（2023）

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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.
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Key words
algebraic structures,quasi-pseudometrics
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