O. Karlova

activity

20142020

most citedOn Baire classification of mappings with values in connected spaces

10 citations · 13 across the 19 of their papers we have counts for

collaborators

Showing 2015Show all

10 papers · 1 filter

math.GN2015

Diagonals of separately absolutely continuous mappings and their analogues

Olena Karlova, Volodymyr Mykhaylyuk, Oleksandr Sobchuk

We prove that, for an interval $X \subseteq R$ and a normed space $Z$ diagonals of separately absolute continuous mappings $f : X^{2} \to Z$ are exactly such mappings \mbox{$g:X\…

math.GN2015

On Baire-one mappings with zero-dimensional domains

Olena Karlova

We generalize the Lebesgue-Hausdorff Theorem on Baire classification of mappings defined on strongly zero-dimensional spaces

math.GN2015

On strongly separately continuous functions on sequence spaces

Olena Karlova, Tomáš Visnyai

We study strongly separately continuous real-valued function defined on the Banach spaces $ℓ_{p}$ . Determining sets for the class of strongly separately continuous functions on $\…

math.GN2015

On stable Baire classes

Olena Karlova, Volodymyr Mykhaylyuk

We introduce and study adhesive spaces. Using this concept we obtain a characterization of stable Baire maps $f : X \to Y$ of the class $α$ for wide classes of topological spaces. In…

math.GN2015

On composition of Baire functions

Olena Karlova, Volodymyr Mykhaylyuk

We study the maps between topological spaces whose composition with Baire class $α$ maps also belongs to the $α$ 'th Baire class and give characterizations of such maps

math.GN2015★ 10 cited

On Baire classification of mappings with values in connected spaces

Olena Karlova

We generalize the Lebesgue-Hausdorff Theorem on the characterization of Baire-one functions for $σ$ -strongly functionally discrete mappings defined on arbitrary topological spaces

math.GN2015

On $C$ -embedded subspaces of the Sorgenfrey plane

Olena Karlova

We prove that every $C^{*}$ -embedded subset of $ß$ is a hereditarily Baire subspace of $R^{2}$ . We also show that for a subspace $E \subseteq {(x, - x) : x \in R}$ of the Sor…

math.GN2015

On Baire classification of strongly separately continuous functions

Olena Karlova

We investigate strongly separately continuous functions on a product of topological spaces and prove that if $X$ is a countable product of real lines, then there exists a strongly…

math.GN2015

On perfect cones and absolute Baire-one retracts

Olena Karlova

We introduce perfect cones over topological spaces and study their connection with absolute $B_{1}$ -retracts

math.GN2015

Functionally $σ$ -discrete mappings and a generalization of Banach's theorem

Olena Karlova

We present $σ$ -strongly functionally discrete mappings which expand the class of $σ$ -discrete mappings and generalize Banach's theorem on analytically representable functions

Diagonals of separately absolutely continuous mappings and their analogues

On Baire-one mappings with zero-dimensional domains

On strongly separately continuous functions on sequence spaces

On stable Baire classes

On composition of Baire functions

On Baire classification of mappings with values in connected spaces

On C-embedded subspaces of the Sorgenfrey plane

On Baire classification of strongly separately continuous functions

On perfect cones and absolute Baire-one retracts

Functionally σ-discrete mappings and a generalization of Banach's theorem

On $C$ -embedded subspaces of the Sorgenfrey plane

Functionally $σ$ -discrete mappings and a generalization of Banach's theorem