Geodesic
On half-completion and bicompletion of quasi-metric spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 749-756

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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.
Classification : 54E15, 54E35, 54E50
Keywords: quasi-metric; quasi-uniform; half-completion; bicompletion; uniformly \newline weakly regular 
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     title = {On half-completion and bicompletion of quasi-metric spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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Alemany, Elena; Romaguera, Salvador. On half-completion and bicompletion of quasi-metric spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 749-756. http://geodesic.mathdoc.fr/item/CMUC_1996__37_4_a6/