On the modular metric completion

• Olela-Otafudu, Olivier ^[1] ; Phawe, Tlotlo Odacious ^[2]
  1. [1] University of Limpopo

     University of Limpopo

     Polokwane, Sudáfrica

     
  2. [2] North-West University

     North-West University

     Tlokwe City Council, Sudáfrica

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 2, 2025, págs. 827-838
• Idioma: inglés
• DOI: 10.4995/agt.2025.23431
• Enlaces
  • Texto completo
• Resumen

  • 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.

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