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On half-completion and bicompletion of quasi-metric spaces

Elena AlemanySalvador Romaguera — 1996

Commentationes Mathematicae Universitatis Carolinae

We characterize the quasi-metric spaces which have a quasi-metric half-completion 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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