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arXiv · 2410.03469

Coincidence of the Dimensions of First Countable Spaces with a Countable Network

I. M. Leibo
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Abstract

The coincidence of the $\Ind$ and $\dim$ dimensions for first countable paracompact $\sigma$-spaces is proved. This gives a positive answer to A. V. Arkhangel'skii's question of whether the dimensions $\ind X$, $\Ind X$, and $\dim X$ are equal for first countable spaces with a countable network.

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I. M. Leibo. 2024-10-04. Coincidence of the Dimensions of First Countable Spaces with a Countable Network. https://arxiv.org/abs/2410.03469

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