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

Olena Karlova; Volodymyr Maslyuchenko; Volodymyr Mykhaylyuk

Open Mathematics (2012)

- Volume: 10, Issue: 3, page 1042-1053
- ISSN: 2391-5455

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topOlena Karlova, Volodymyr Maslyuchenko, and Volodymyr Mykhaylyuk. "Equiconnected spaces and Baire classification of separately continuous functions and their analogs." Open Mathematics 10.3 (2012): 1042-1053. <http://eudml.org/doc/269124>.

@article{OlenaKarlova2012,

abstract = {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.},

author = {Olena Karlova, Volodymyr Maslyuchenko, Volodymyr Mykhaylyuk},

journal = {Open Mathematics},

keywords = {Baire-one function; Function of the α-th Baire class; Separately continuous function; Equiconnected space; separately continuous function; equiconnected space; Baire classification of functions},

language = {eng},

number = {3},

pages = {1042-1053},

title = {Equiconnected spaces and Baire classification of separately continuous functions and their analogs},

url = {http://eudml.org/doc/269124},

volume = {10},

year = {2012},

}

TY - JOUR

AU - Olena Karlova

AU - Volodymyr Maslyuchenko

AU - Volodymyr Mykhaylyuk

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

JO - Open Mathematics

PY - 2012

VL - 10

IS - 3

SP - 1042

EP - 1053

AB - 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.

LA - eng

KW - Baire-one function; Function of the α-th Baire class; Separately continuous function; Equiconnected space; separately continuous function; equiconnected space; Baire classification of functions

UR - http://eudml.org/doc/269124

ER -

## References

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