10 citations · 13 across the 19 of their papers we have counts for
31 papers
A characterization of the uniform convergence points set of some convergent sequence of functions
Olena Karlova
We characterize the uniform convergence points set of a pointwisely convergent sequence of real-valued functions defined on a perfectly normal space. We prove that if is a perf…
A generalization of a Baire theorem concerning barely continuous functions
Olena Karlova
We prove that if is a paracompact space, is a metric space and is a functionally fragmented map, then (i) is -discrete and functionally -measurable;…
Extension of bounded Baire-one functions vs Extension of unbounded Baire-one functions
Olena Karlova, Volodymyr Mykhaylyuk
We compare possibilities of extension of bounded and unbounded Baire-one functions from subspaces of topological spaces.
Extension of fragmented Baire-one functions on Lindelöf spaces
Olena Karlova, Volodymyr Mykhaylyuk
We investigate the possibility of extension of fragmented functions from Lindelöf subspaces of completely regular spaces and find necessary and sufficient conditions on a fragmente…
The first homotopic Baire class of maps with values in ANR's coincides with the first Baire class
Olena Karlova, Sergiy Maksymenko
We introduce the first homotopic Baire class of maps as a homotopical counterpart of a usual first Baire class of maps between topological spaces and show that those classes with v…
Extension of Borel maps with values in non-metrizable spaces
Olena Karlova, Volodymyr Mykhaylyuk
We investigate the possibility of extension of -measurable and Baire-one maps from subspaces of topological spaces when these maps take values in spaces which covers by a sequ…
The Baire classification of strongly separately continuous functions on
Olena Karlova, Tomáš Visnyai
We prove that for any there exists a strongly separately continuous function such that belongs to the 'th /'th/ Baire class…
Upper and lower Lebesgue classification of multivalued mappings of two variables
Olena Karlova, Volodymyr Mykhaylyuk
We introduce a functional Lebesgue classification of multivalued mappings and obtain results on upper and lower Lebesgue classifications of multivalued mappings …
Diagonals of separately continuous maps with values in box products
Olena Karlova, Volodymyr Mykhaylyuk
We prove that if is a paracompact connected space and is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for…
Extending Baire-one functions on compact spaces
Olena Karlova, Volodymyr Mykhaylyuk
We answer a question of O. Kalenda and J. Spurný and give an example of a completely regular hereditarily Baire space and a Baire-one function which can not be e…
Limits of sequences of continuous functions depending on finitely many coordinates
Olena Karlova, Volodymyr Mykhaylyuk
We answer two questions from {\it V.Bykov, On Baire class one functions on a product space, Topol. Appl. {199} (2016) 55--62,} and prove that every Baire one function on a subspace…
Diagonals of separately absolutely continuous mappings and their analogues
Olena Karlova, Volodymyr Mykhaylyuk, Oleksandr Sobchuk
We prove that, for an interval and a normed space diagonals of separately absolute continuous mappings are exactly such mappings \mbox{$g:X\…
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
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 . Determining sets for the class of strongly separately continuous functions on $\…
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 of the class for wide classes of topological spaces. In…
On composition of Baire functions
Olena Karlova, Volodymyr Mykhaylyuk
We study the maps between topological spaces whose composition with Baire class maps also belongs to the 'th Baire class and give characterizations of such maps
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 -strongly functionally discrete mappings defined on arbitrary topological spaces
On -embedded subspaces of the Sorgenfrey plane
Olena Karlova
We prove that every -embedded subset of is a hereditarily Baire subspace of . We also show that for a subspace of the Sor…
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 is a countable product of real lines, then there exists a strongly…
On perfect cones and absolute Baire-one retracts
Olena Karlova
We introduce perfect cones over topological spaces and study their connection with absolute -retracts
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 -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…