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On Quasi-Metrizability

Published online by Cambridge University Press:  20 November 2018

M. Sion  and
G. Zelmer
M. Sion
Affiliation:
University of British Columbia, Vancouver
G. Zelmer
Affiliation:
University of British Columbia, Vancouver
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The notion of a quasi-metric was introduced by Wilson (7) and has been studied by himself, Albert (1), and Ribeiro (6) among others. In this paper, we extend and unify some of their work, and connect it with results of Csaszar (2) and Pervin (4, 5) on quasi-uniformities.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 1243 - 1249
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Albert, G. E., A note on quasi-metric spaces, Bull. Amer. Math. Soc., 47 (1941), 479.Google Scholar
2. Csaszar, A., Fondements de la topologie générale (Paris, 1960).Google Scholar
3. Kelley, J. L., General topology (New York, 1955).Google Scholar
4. Pervin, W. J., Uniformization of neighborhood axioms, Math. Ann., 147 (1962), 313.Google Scholar
5. Pervin, W. J., Quasi-uniformization of topological spaces, Math. Ann., 147 (1962), 316.Google Scholar
6. Ribeiro, H., Sur les éspaces à métrique faible, Portugal. Math., 4 (1943), 21.Google Scholar
7. Wilson, W. A., On quasi-metric spaces, Amer. J. Math., 53 (1931), 675.Google Scholar