Every $T_1$ connected first-countable space is a continuous open image of a connected metrizable space
General Topology
2024-04-02 v1
Abstract
Answering a question posed by Vladimir Tkachuk, we prove that every connected first-countable space is a continuous open image of a connected metrizable space.
Cite
@article{arxiv.2404.00580,
title = {Every $T_1$ connected first-countable space is a continuous open image of a connected metrizable space},
author = {Vlad Smolin},
journal= {arXiv preprint arXiv:2404.00580},
year = {2024}
}