English

Perfect maps between submetrizable spaces

General Topology 2026-05-05 v1

Abstract

We investigate a question posed by Huaipeng Chen: if XX and YY are paracompact submetrizable spaces and f:XYf:X\to Y is a perfect map, can XX and YY be submetrized by metrics ρ\rho and dd respectively such that ff remains perfect with respect to the induced topologies?

Keywords

Cite

@article{arxiv.2605.01509,
  title  = {Perfect maps between submetrizable spaces},
  author = {Vlad Smolin},
  journal= {arXiv preprint arXiv:2605.01509},
  year   = {2026}
}
R2 v1 2026-07-01T12:46:50.767Z