On the Bitopological Extension of the Bing Metrization Theorem

Journal of the Australian Mathematical Society

Salvador Romaguera¹ 

[1] Josefa Marín

关键词: primary 54 E 35;    54 E 55;    secondary 54 C 10;    54 D 18;    54 E 30;   

DOI  :  10.1017/S1446788700029815

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

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 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.

【 授权许可】

Unknown