Every $T_1$ connected first-countable space is a continuous open image of a connected metrizable space

Vlad Smolin

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arXiv · 2404.00580

Every $T_1$ connected first-countable space is a continuous open image of a connected metrizable space

Vlad Smolin

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Abstract

Answering a question posed by Vladimir Tkachuk, we prove that every $T_1$ connected first-countable space is a continuous open image of a connected metrizable space.

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Vlad Smolin. 2024-03-31. Every $T_1$ connected first-countable space is a continuous open image of a connected metrizable space. https://arxiv.org/abs/2404.00580

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