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

  1. Gregori Gregori, Valentín
  2. Ferrer Llopis, Jesús
Zeitschrift:
Stochastica: revista de matemática pura y aplicada

ISSN: 0210-7821

Datum der Publikation: 1982

Ausgabe: 6

Nummer: 2

Seiten: 151-156

Art: Artikel

Andere Publikationen in: Stochastica: revista de matemática pura y aplicada

Zusammenfassung

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.