Opuscula Math. 36, no. 4 (2016), 481-488
http://dx.doi.org/10.7494/OpMath.2016.36.4.481

 
Opuscula Mathematica

On the Baire classification of continuous mappings defined on products of Sorgenfrey lines

Olena Karlova
Olga Fodchuk

Abstract. We study the Baire measurability of functions defined on \(\mathbb{R}^T\) which are continuous with respect to the product topology on a power \(\mathbb{S}^T\) of Sorgenfrey lines.

Keywords: Baire-one function, Sorgenfrey line, equiconnected space.

Mathematics Subject Classification: 26A21, 54C05.

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  • Olena Karlova
  • Chernivtsi National University, Faculty of Mathematics and Informatics, Department of Mathematical Analysis, Kotsyubyns'koho str., 2, Chernivtsi, Ukraine
  • Olga Fodchuk
  • Chernivtsi National University, Faculty of Mathematics and Informatics, Department of Mathematical Analysis, Kotsyubyns'koho str., 2, Chernivtsi, Ukraine
  • Communicated by P.A. Cojuhari.
  • Received: 2015-08-26.
  • Revised: 2016-01-26.
  • Accepted: 2016-01-28.
  • Published online: 2016-04-01.
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Cite this article as:
Olena Karlova, Olga Fodchuk, On the Baire classification of continuous mappings defined on products of Sorgenfrey lines, Opuscula Math. 36, no. 4 (2016), 481-488, http://dx.doi.org/10.7494/OpMath.2016.36.4.481

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