Proximally well-monotone covers and $QH$-singularity

Tom Vroegrijk

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arXiv · 1504.02349

Proximally well-monotone covers and $QH$-singularity

Tom Vroegrijk

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Abstract

In this paper 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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Tom Vroegrijk. 2015-04-09. Proximally well-monotone covers and $QH$-singularity. https://arxiv.org/abs/1504.02349

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