A quasi-metric space without complete quasi-uniformity (Q1917057)
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scientific article; zbMATH DE number 896615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quasi-metric space without complete quasi-uniformity |
scientific article; zbMATH DE number 896615 |
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A quasi-metric space without complete quasi-uniformity (English)
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3 July 1996
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The authors construct a quasi-metrizable space that does not admit a complete quasi-uniformity. They achieve the construction by defining an interesting space \(X\) and then showing that certain extensions of \(X\) do not admit a complete quasi-uniformity. Since their space does not satisfy the Hausdorff axiom, it remains an open question whether every regular quasi-metrizable space admits a complete quasi-uniformity.
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quasi-metrizable space
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complete quasi-uniformity
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