3 papers
math.GN2026
Perfect maps between submetrizable spaces
Vlad Smolin
We investigate a question posed by Huaipeng Chen: if and are paracompact submetrizable spaces and is a perfect map, can and be submetrized by metrics …
math.GN2021
A Hausdorff compact space is metrizable if and only if it is a continuous open image of the Sorgenfrey line
Vlad Smolin
In this note we prove that a regular continuous open image of the Sorgenfrey line with an uncountable weight has a closed subspace that is homeomorphic to the Sorgenfrey line. As a…
math.GN2020
Open images of the Sorgenfrey line
Vlad Smolin
We give a description of Hausdorff continuous open images of the Sorgenfrey line: these are precisely those spaces that have a Sorgenfrey base. Using this description we prove that…