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

Valentín Gregori Gregori, Jesús Ferrer Llopis

• 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.