Infinity valued partial metrics

• Matthews, Steve ; Pajoohesh, Homeira ^[1]
  1. [1] City University of New York

     City University of New York

     Estados Unidos

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 1, 2025, págs. 71-85
• Idioma: inglés
• DOI: 10.4995/agt.2025.20840
• Enlaces
  • Texto completo
• Resumen

  • A partial metric is a generalised metric incorporating non-zero self-distance. It was introduced by Matthews in Computer Science, and connected well with Kopperman's long standing interest in generalised metrics and non-Hausdorff topology. In this article we further generalise partial metrics by incoporating ∞ as a distance. We prove that a so-called infinite partial metric induces a partial metrizable topology, but not in general vice verse.

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