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

Olena Karlova, Volodymyr Maslyuchenko, Volodymyr Mykhaylyuk (2012)

Open Mathematics

We investigate the Baire classification of mappings f: X × Y → 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. We show that for a dense set in X these mappings are functions of a Baire class α in the second variable.

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