A quasi-metric space without complete quasi-uniformity
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.
scientific article; zbMATH DE number 896615