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...

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Detalles Bibliográficos
Autores: Olela-Otafudu, Olivier, Phawe, Tlotlo Odacious
Tipo de recurso: artículo
Fecha de publicación:2025
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:10251/227680
Acceso en línea:https://riunet.upv.es/handle/10251/227680
Access Level:acceso abierto
Palabra clave:Modular completion
Isometry
Modular convergence
Modular metric
Descripción
Sumario:[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.