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

Año de publicación: 1982

Volumen: 6

Número: 2

Páginas: 151-156

Tipo: Artículo

Otras publicaciones en: Stochastica: revista de matemática pura y aplicada

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.