Characterization of quantale-valued metric spaces and quantale-valued partial metric spaces by convergence

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7849-36143-1-PB.pdf (238.56 KB)

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2018-04-02

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https://riunet.upv.es/handle/10251/100262

Cita bibliográfica

Jäger, G.; Ahsanullah, TMG. (2018). Characterization of quantale-valued metric spaces and quantale-valued partial metric spaces by convergence. Applied General Topology. 19(1):129-144. https://doi.org/10.4995/agt.2018.7849

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Resumen

[EN] We identify two categories of quantale-valued convergence tower spaces that are isomorphic to the categories of quantale-valued metric spaces and quantale-valued partial metric spaces, respectively. As an application we state a quantale-valued metrization theorem for quantale-valued convergence tower groups.

Palabras clave

L-metric space, L-partial metric space, L-convergence tower space, L-convergence tower group, Metrization

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2018.7849

Versión del editor

https://doi.org/10.4995/agt.2018.7849

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Applied General Topology - Vol 19, No 1 (2018)