★-quasi-pseudometrics on algebraic structures

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HeJinXie - -quasi-pseudometrics on algebraic structures.pdf (391.33 KB)

Fecha

2023-10-02

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https://riunet.upv.es/handle/10251/199728

Cita bibliográfica

He, S.; Jin, Y.; Xie, L. (2023). ★-quasi-pseudometrics on algebraic structures. Applied General Topology. 24(2):253-265. https://doi.org/10.4995/agt.2023.19303

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Resumen

[EN] 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.

Palabras clave

Topological group, Paratopological groups, Topological semigroup, Invariant ★-(quasi-)pseudometric

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2023.19303

Versión del editor

https://doi.org/10.4995/agt.2023.19303

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Applied General Topology - Vol 24, No 2 (2023)