Quasi-metrization and completion for Pervin's quasi-uniformity
- Gregori Gregori, Valentín
- Ferrer Llopis, Jesús
ISSN: 0210-7821
Année de publication: 1982
Volumen: 6
Número: 2
Pages: 151-156
Type: Article
D'autres publications dans: Stochastica: revista de matemática pura y aplicada
Résumé
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.