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/