3 problems

A space metrizable by a complete metric is considered, together with zero-dimensional metrizable groups and the property of being strongly zero-dimensional. Complete-metric embeddi…

Coincidence conjecture. The analog and distributional notions of category and topological complexity coincide on the class of metrizable spaces.

Let a space $X$ be normal-Frolík for normal $P$-spaces when $X\times Y$ is normal for every normal $P$-space $Y$. Morita's second conjecture. Metrizable spaces are exactly the norm…