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On bitopological quasi-pseudometrization

Part of: Spaces with richer structures

Published online by Cambridge University Press:  09 April 2009

S. Romaguera
S. Romaguera
Affiliation:
Departmento de Matemàticas II ETSICCP University PolitécnicaValencia-22, Spain
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Abstract

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In this paper we give a sufficient condition of quasi-pseudometrization for bitopological spaces. From this condition we obtain, as immediate corollaries, some known results.

Keywords

Bitopologicalspacesquasi-pseudometrization.

MSC classification

Secondary: 54E55: Bitopologies 54E35: Metric spaces, metrizability
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 36 , Issue 1 , February 1984 , pp. 126 - 129
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Borges, C. J., ‘On metrixability of topological spaces’, Canad. J. Math. 20 (1968), 795–804.Google Scholar
[2]Kelly, J. C., ‘Bitopological spaces’, Proc. London Math. Soc. 13 (1963), 71–89.Google Scholar
[3]Lane, E. P., ‘Bitopological spaces and quasi-uniform spaces’, Proc. London Math. Soc. 17 (1967), 241–256.Google Scholar
[4]Patty, C. W., ‘Bitopological spaces’, Duke Math. J. 34 (1967), 387–392.Google Scholar
[5]Salbany, S., ‘Quasi-metrization of bitopological spaces’, Arch. Math. (Basel) 23 (1972), 299–306.Google Scholar