4 papers
Scattered compact sets in continuous images of Čech-complete spaces
Taras Banakh, Bogdan Bokalo, Vladimir Tkachuk
Assume hat a functionally Hausdorff space is a continuous image of a Čech complete space with Lindelöf number . Then the following conditions are equivale…
On some functional generalizations of the regularity of topological spaces
Taras Banakh, Bogdan Bokalo
We introduce and study some generalizations of regular spaces, which were motivated by studying continuity properties of functions between (regular) topological spaces. In particul…
Topological properties preserved by weakly discontinuous maps and weak homeomorphisms
Taras Banakh, Bogdan Bokalo, Nadiya Kolos
A map between topological spaces is called weakly discontinuous if each subspace contains an open dense subspace such that the restriction $f|U…
Weakly discontinuous and resolvable functions between topological spaces
Taras Banakh, Bogdan Bokalo
We prove that a function from a first-countable (more generally, Preiss-Simon) space to a regular space is weakly discontinuous (which means that every subspace…