10 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…