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arXiv · 1407.5743

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

Olena Karlova·Volodymyr Maslyuchenko·Volodymyr Mykhaylyuk
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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 $α$ in the second variable.

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Olena Karlova, Volodymyr Maslyuchenko, Volodymyr Mykhaylyuk. 2014-07-22. Equiconnected spaces and Baire classification of separately continuous functions and their analogs. https://arxiv.org/abs/1407.5743

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