Quasi-metrization and completion for Pervin's quasi-uniformity
- Gregori Gregori, Valentín
- Ferrer Llopis, Jesús
ISSN: 0210-7821
Year of publication: 1982
Volume: 6
Issue: 2
Pages: 151-156
Type: Article
More publications in: Stochastica: revista de matemática pura y aplicada
Abstract
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.