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Proximally well-monotone covers and QH-singularity

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Abstract

We use a certain class of well-monotone covers on a quasi-uniform space \({(X, \mathcal{U})}\) to investigate whether there are quasi-uniformities \({\mathcal{V}}\) that are distinct from \({\mathcal{U}}\), but have the property that the associated Hausdorff quasi-uniformities \({\mathcal{U}_H}\) and \({\mathcal{V}_H}\) on the hyperspace of X have the same underlying topologies.

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  1. Hoogstraat 19, Herk-de-Stad, 3540, Belgium

    T. Vroegrijk

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  1. T. Vroegrijk
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Correspondence to T. Vroegrijk.

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Dedicated to Lucas and Elouise Wienhoven

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Vroegrijk, T. Proximally well-monotone covers and QH-singularity. Acta Math. Hungar. 148, 437–449 (2016). https://doi.org/10.1007/s10474-015-0572-z

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  • DOI: https://doi.org/10.1007/s10474-015-0572-z

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