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.
@article{urn:eudml:doc:38872, title = {Quasi-metrization and completion for Pervin's quasi-uniformity.}, journal = {Stochastica}, volume = {6}, year = {1982}, pages = {151-156}, zbl = {0544.54021}, mrnumber = {MR0691621}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38872} }
Gregori, V.; Ferrer, J. Quasi-metrization and completion for Pervin's quasi-uniformity.. Stochastica, Tome 6 (1982) pp. 151-156. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38872/