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

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

ISSN: 0210-7821

Any de publicació: 1982

Volum: 6

Número: 2

Pàgines: 151-156

Tipus: Article

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Altres publicacions en: Stochastica: revista de matemática pura y aplicada

Resum

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.

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