On the Bitopological Extension of the Bing Metrization Theorem-Reference-Cited by-同舟云学术

On the Bitopological Extension of the Bing Metrization Theorem

Published:1988-04 Issue:2 Volume:44 Page:233-241
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Romaguera Salvador,Marín Josefa

Abstract

AbstractBased on a Junnila's paracompactness characterization we give a definition of pairwise paracompact space which permits us to prove that a bitopological space is quasi-metrizable if, and only if, it is a pairwise developable and pairwise paracompact space. An easy consequence of this result is the biquasi-metric form of the Morita metrization theorem. We also give some results on open mappings and strong quasi-metrics.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference14 articles.

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4. Metrization of Topological Spaces

5. [7] Junnila H. J. K. , Covering properties and quasi-uniformities of topological spaces (Thesis, Virginia Polytechnic Institute and State University, Blacksburg 1978).

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