33 citations · 687 across the 231 of their papers we have counts for
12 papers · 2 filters
The strong Pytkeev property in topological spaces
Taras Banakh, Arkady Leiderman
A topological space has the strong Pytkeev property at a point if there exists a countable family of subsets of such that for each neighborhood $O_x\s…
The -stable closure of the class of separable metrizable spaces
T. Banakh, S. Gabriyelyan
Denote by the -stable closure of the class of all separable metrizable spaces, i.e., is the smallest…
Quasi-pseudometrics on quasi-uniform spaces and quasi-metrization of topological monoids
Taras Banakh, Alex Ravsky
We define a notion of a rotund quasi-uniform space and describe a new direct construction of a (right-continuous) quasi-pseudometric on a (rotund) quasi-uniform space. This new con…
Each regular paratopological group is completely regular
Taras Banakh, Alex Ravsky
We prove that a semiregular topological space is completely regular if and only if its topology is generated by a normal quasi-uniformity. This characterization implies that ea…
Classifying invariant -ideals with analytic base on good Cantor measure spaces
Taras Banakh, Robert Ralowski, Szymon Zeberski
Let be a zero-dimensional compact metrizable space endowed with a strictly positive continuous Borel -additive measure which is good in the sense that for any clopen sub…
Sequential rectifiable spaces of countable -character
Taras Banakh, Dusan Repovs
We prove that each non-metrizable sequential rectifiable space of countable -character contains a clopen rectifiable submetrizable -subspace and admits an open d…