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

[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...

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Detalles Bibliográficos
Autores: Jäger, Gunther, Ahsanullah, T. M. G.
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/100262
Acceso en línea:https://riunet.upv.es/handle/10251/100262
Access Level:acceso abierto
Palabra clave:L-metric space
L-partial metric space
L-convergence tower space
L-convergence tower group
Metrization
Descripción
Sumario:[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.