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Keywords:
quasi-metric; quasi-uniform; half-completion; bicompletion; uniformly \newline weakly regular
quasi-metric; quasi-uniform; half-completion; bicompletion; uniformly \newline weakly regular
Summary:
We characterize the quasi-metric spaces which have a quasi-metric half-comp\-le\-tion and deduce that each paracompact co-stable quasi-metric space having a quasi-metric half-completion is metrizable. We also characterize the quasi-metric spaces whose bicompletion is quasi-metric and it is shown that the bicompletion of each quasi-metric compatible with a quasi-metrizable space $X$ is quasi-metric if and only if $X$ is finite.
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