2 papers
math.GN2024
On a Problem of Arkhangel'skii
I. M. Leibo
The coincidence of the $\Ind$ and dimensions for first countable paracompact -spaces is proved. As a corollary, the equality $\Ind X= \dim X$ for every Nagata (that is,…
math.GN2024
Coincidence of the Dimensions of First Countable Spaces with a Countable Network
I. M. Leibo
The coincidence of the $\Ind$ and dimensions for first countable paracompact -spaces is proved. This gives a positive answer to A. V. Arkhangel'skii's question of whethe…