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.
@article{bwmeta1.element.doi-10_2478_s11533-012-0016-8,
author = {Olena Karlova and Volodymyr Maslyuchenko and Volodymyr Mykhaylyuk},
title = {Equiconnected spaces and Baire classification of separately continuous functions and their analogs},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {1042-1053},
zbl = {1287.54009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0016-8}
}
Olena Karlova; Volodymyr Maslyuchenko; Volodymyr Mykhaylyuk. Equiconnected spaces and Baire classification of separately continuous functions and their analogs. Open Mathematics, Tome 10 (2012) pp. 1042-1053. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0016-8/
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