8 papers
Functionally -discrete mappings and a generalization of Banach's theorem
Olena Karlova
We present -strongly functionally discrete mappings which expand the class of -discrete mappings and generalize Banach's theorem on analytically representable functions
A characterization of the discontinuity point set of strongly separately continuous functions on products
Olena Karlova, Volodymyr Mykhaylyuk
We study properties of strongly separately continuous mappings defined on subsets of products of topological spaces equipped with the topology of pointwise convergence. In particul…
On weakly Gibson -measurable mappings
Olena Karlova, Volodymyr Mykhaylyuk
A function between topological spaces is said to be a {\it weakly Gibson function} if for any open connected set \mbox{$U\subs…
On Gibson functions with connected graphs
Olena Karlova, Volodymyr Mykhaylyuk
A function between topological spaces is said to be a {\it weakly Gibson function} if for any open connected set \mbox{$G\subs…
On -embedded sets and extension of mappings
Olena Karlova
We introduce and study -embedded sets and apply them to generalize the Kuratowski Extension Theorem.
Equiconnected spaces and Baire classification of separately continuous functions and their analogs
Olena Karlova, Volodymyr Maslyuchenko, Volodymyr Mykhaylyuk
We investigate the Baire classification of mappings , where belongs to a wide class of spaces, which includes all metrizable spaces, is a topological spac…