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

Abstract

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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.

How to cite

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Olena 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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