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arXiv · 2605.01509

Perfect maps between submetrizable spaces

Vlad Smolin
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Abstract

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 $\rho$ and $d$ respectively such that $f$ remains perfect with respect to the induced topologies?

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Vlad Smolin. 2026-05-02. Perfect maps between submetrizable spaces. https://arxiv.org/abs/2605.01509

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