×

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:

54E50 Complete metric spaces
54E35 Metric spaces, metrizability
54E15 Uniform structures and generalizations
PDF BibTeX XML Cite
Full Text: EuDML