On completeness of quasi-pseudometric spaces.

Moshokoa, Seithuti P.

Displaying similar documents to “On completeness of quasi-pseudometric spaces.”

On half-completion and bicompletion of quasi-metric spaces

Elena Alemany, Salvador Romaguera (1996)

Commentationes Mathematicae Universitatis Carolinae

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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.

On oriented metric spaces

Ivan L. Reilly, Mavina K. Vamanamurthy (1984)

Mathematica Slovaca

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A non-completely regular quiet quasi-metric.

Deák, J. (1990)

Mathematica Pannonica

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Quasi-metrizable spaces with a bicomplete structure.

Salvador Romaguera, Sergio Salbany (1992)

Extracta Mathematicae

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Versatile asymmetrical tight extensions

Olivier Olela Otafudu, Zechariah Mushaandja (2017)

Topological Algebra and its Applications

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We show that the image of a q-hyperconvex quasi-metric space under a retraction is q-hyperconvex. Furthermore, we establish that quasi-tightness and quasi-essentiality of an extension of a T0-quasi-metric space are equivalent.