On countably compact quasi-pseudometrizable spaces

Journal of the Australian Mathematical Society

Sergio Salbany¹ 

[1] Salvador Romaguera

关键词: 54 D 30;    54 E 35;    54 E 45;    54 E 50;    54 E 52;   

DOI  :  10.1017/S1446788700030500

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We prove the following results: (1) A quasi-metrizable space is compact if and only if every compatible quasi-metric has a quasi-metric left d—sequential completion. (2) A quasipseudometrizable space is countably compact if and only if every compatible quasi-pseudometric is pointwise bounded. (3) A quasi-pseudometrizable space is compact if and only if every compatible quasi-pseudometric is precompact.

【 授权许可】

Unknown