English

Proximally well-monotone covers and $QH$-singularity

General Topology 2015-04-10 v1

Abstract

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

Keywords

Cite

@article{arxiv.1504.02349,
  title  = {Proximally well-monotone covers and $QH$-singularity},
  author = {Tom Vroegrijk},
  journal= {arXiv preprint arXiv:1504.02349},
  year   = {2015}
}
R2 v1 2026-06-22T09:13:35.297Z