Quasi-metrization and completion for Pervin's quasi-uniformity

• Autores: Valentín Gregori Gregori, Jesús Ferrer Llopis
• Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 6, Nº. 2, 1982, págs. 151-156
• Idioma: inglés
• Títulos paralelos:
  • Casi-metrización y compleción para la casi-uniformidad de Pervin.
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• Resumen

  • R. Stoltenberg characterized in [2] those quasi-uniformities which are quasi-pseudometrizable, as well as those quasi-metric spaces which have a quasi-metric completion. In this paper we follow Stoltenberg's work by giving characterizations for quasi-metrizability and quasi-metric completion for a particular type of quasi-uniform spaces, the Pervin's quasi-uniform space.