On the modular metric completion

[EN] The purpose of this paper is to present the construction of the completion of a set equipped with a modular metric that we call the modular completion. We show for instance that any set equipped with a modular metric has a modular completion. Moreover, it turns out that the modular completion i...

ver descrição completa

Detalhes bibliográficos
Autores: Olela-Otafudu, Olivier, Phawe, Tlotlo Odacious
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/227680
Acesso em linha:https://riunet.upv.es/handle/10251/227680
Access Level:acceso abierto
Palavra-chave:Modular completion
Isometry
Modular convergence
Modular metric
Descrição
Resumo:[EN] The purpose of this paper is to present the construction of the completion of a set equipped with a modular metric that we call the modular completion. We show for instance that any set equipped with a modular metric has a modular completion. Moreover, it turns out that the modular completion is unique up to isometry.