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.
• Revised: 2016-01-26.
• Accepted: 2016-01-28.
• Published online: 2016-04-01.