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

descriptionPublicationkeyboard_double_arrow_right Article 02 Apr 2018 Spain Publisher:Universitat Politecnica de ValenciaJournal:Applied General Topology, volume 19, page 129 (issn: 1576-9402, eissn: 1989-4147,

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Authors: Jäger, Gunther; Ahsanullah, T. M. G.;

doi: 10.4995/agt.2018.7849

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

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Abstract

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.

Country

Spain

Related Organizations

King Saud University
Saudi Arabia
Universitat Politècnica de València
Spain
University of Applied Sciences Stralsund
Germany

Keywords

QA299.6-433, \(L\)-partial metric space, Fuzzy topology, \(L\)-partial convergence tower space, metrization, \(L\)-convergence tower group, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), Metrization, \(L\)-convergence tower space, L-convergence tower group, \(L\)-metric space, Metric spaces, metrizability, QA1-939, Probabilistic metric spaces, L-partial metric space, L-metric space, L-convergence tower space, Mathematics, Analysis

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