10 citations · 13 across the 19 of their papers we have counts for
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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 -embedded subsets of products
Olena Karlova, Volodymyr Mykhaylyuk
We prove that every continuous function depends on countably many coordinates, if is an -invariant pseudo--compact subspace of a produ…
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.
Diagonals of separately continuous functions and their analogs
Olena Karlova, Volodymyr Mykhaylyuk, Oleksandr Sobchuk
We prove that for a topological space , an equiconnected space and a Baire-one mapping there exists a separately continuous mapping with the diagonal…
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…
Classification of separately continuous functions with values in -metrizable spaces
Olena Karlova
We prove that every vertically nearly separately continuous function defined on a product of a strong PP-space and a topological space and with values in a strongly -metrizable…
Extension of continuous functions to Baire-one functions
Olena Karlova
We introduce the notion of -retract and investigate the connection between - and -retracts.
Extension of continuous mappings and -retracts
Olena Karlova
We prove that any continuous mapping on a completely metrizable subspace of a perfect paracompact space can be extended to a Lebesgue class one mapping $g:X\to Y…