V. Mykhaylyuk

activity

20122017

collaborators

8 papers

math.GN2018

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.

math.GN2018

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…

math.GN2018

Extension of Borel maps with values in non-metrizable spaces

Olena Karlova, Volodymyr Mykhaylyuk

We investigate the possibility of extension of $F_{σ}$ -measurable and Baire-one maps from subspaces of topological spaces when these maps take values in spaces which covers by a sequ…

math.GN2017

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 $F : X \times Y \to Z$ …

math.GN2017

Diagonals of separately continuous maps with values in box products

Olena Karlova, Volodymyr Mykhaylyuk

We prove that if $X$ is a paracompact connected space and $Z = \prod_{s \in S} Z_{s}$ is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for…

math.GN2016

Continuous extension of functions from countable sets

V. Mykhaylyuk

We give a characterization of countable discrete subspace $A$ of a topological space $X$ such that there exists a (linear) continuous mapping $φ : C_{p}^{*} (A) \to C_{p} (X)$ with $φ(y)|_A=y…