Quasi-metrization and completion for Pervin's quasi-uniformity.
Stochastica, Tome 6 (1982) no. 2, p. 151.
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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.
Classification :
54E15
Mots-clés : Espacio topológico, Espacios métricos, quasi-metrizability, Pervin quasi-uniformity, quasi-metric completion
Mots-clés : Espacio topológico, Espacios métricos, quasi-metrizability, Pervin quasi-uniformity, quasi-metric completion
@article{STO_1982__6_2_38872, author = {V. Gregori and J. Ferrer}, title = {Quasi-metrization and completion for {Pervin's} quasi-uniformity.}, journal = {Stochastica}, pages = {151}, publisher = {mathdoc}, volume = {6}, number = {2}, year = {1982}, mrnumber = {MR0691621}, zbl = {0544.54021}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/STO_1982__6_2_38872/} }
V. Gregori; J. Ferrer. Quasi-metrization and completion for Pervin's quasi-uniformity.. Stochastica, Tome 6 (1982) no. 2, p. 151. https://geodesic-test.mathdoc.fr/item/STO_1982__6_2_38872/