J Austral Math Soc Ser A 44 pp233--241, 1988.

On the Bitopological Extension of the Bing Metrization Theorem

Salvador Romaguera and Josefa Marín

Abstract

Based 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 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.

1980 AMS Subject Classification: primary 54E35, 54E55; secondary 54C10, 54D18, 54E30

Browse the article

Authors

Salvador Romaguera

Josefa Marín

Departamento de Matemática Pura, ETSICCP, Universidad Politécnica, 46022 Valencia, Spain.