Perfect maps between submetrizable spaces

Fuente: arXiv
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Autore principale: Smolin, Vlad
Natura: Preprint
Pubblicazione: 2026
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author Smolin, Vlad
author_facet Smolin, Vlad
contents We investigate a question posed by Huaipeng Chen: if $X$ and $Y$ are paracompact submetrizable spaces and $f:X\to Y$ is a perfect map, can $X$ and $Y$ be submetrized by metrics $ρ$ and $d$ respectively such that $f$ remains perfect with respect to the induced topologies?
format Preprint
id arxiv_https___arxiv_org_abs_2605_01509
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Perfect maps between submetrizable spaces
Smolin, Vlad
General Topology
We investigate a question posed by Huaipeng Chen: if $X$ and $Y$ are paracompact submetrizable spaces and $f:X\to Y$ is a perfect map, can $X$ and $Y$ be submetrized by metrics $ρ$ and $d$ respectively such that $f$ remains perfect with respect to the induced topologies?
title Perfect maps between submetrizable spaces
topic General Topology
url https://arxiv.org/abs/2605.01509