Equiconnected spaces and Baire classification of separately continuous functions and their analogs

Olena Karlova; Volodymyr Maslyuchenko; Volodymyr Mykhaylyuk

Equiconnected spaces and Baire classification of separately continuous functions and their analogs

General Topology 2014-07-23 v1

Authors: Olena Karlova , Volodymyr Maslyuchenko , Volodymyr Mykhaylyuk

Abstract

We investigate the Baire classification of mappings $f:X\times Y\to Z$ , where $X$ belongs to a wide class of spaces, which includes all metrizable spaces, $Y$ is a topological space, $Z$ is an equiconnected space, which are continuous in the first variable and for a dense set in $X$ these mappings are functions of a Baire class $\alpha$ in the second variable.

Keywords

equiconnected spaces separately continuous functions Baire classification topological spaces mappings

Cite

@article{arxiv.1407.5743,
  title  = {Equiconnected spaces and Baire classification of separately continuous functions and their analogs},
  author = {Olena Karlova and Volodymyr Maslyuchenko and Volodymyr Mykhaylyuk},
  journal= {arXiv preprint arXiv:1407.5743},
  year   = {2014}
}

Equiconnected spaces and Baire classification of separately continuous functions and their analogs

Abstract

Keywords

Cite

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