Author:
Salbany Sergio,Romaguera Salvador
Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
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