Vlad Smolin

collaborators

2 papers

math.GN2024

Every $T_{1}$ connected first-countable space is a continuous open image of a connected metrizable space

Vlad Smolin

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.

math.GN2022

$π$ -spaces and their open images

Mikhail Patrakeev, Vlad Smolin

We study spaces that can be mapped onto the Baire space (i.e. the countable power of the countable discrete space) by a continuous quasi-open bijection. We give a characterization…

Every T1​ connected first-countable space is a continuous open image of a connected metrizable space

π-spaces and their open images

Every $T_{1}$ connected first-countable space is a continuous open image of a connected metrizable space

$π$ -spaces and their open images