## On half-completion and bicompletion of quasi-metric spaces.(English)Zbl 0886.54027

Author’s abstract: 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.
Reviewer: L.Skula (Brno)

### MSC:

 5.4e+51 Complete metric spaces 5.4e+36 Metric spaces, metrizability 5.4e+16 Uniform structures and generalizations
Full Text: