Opuscula Mathematica
Opuscula Math. 36, no. 4 (2016), 481-488

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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About the authors ▼
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
About the article ▼
Communicated by P.A. Cojuhari.
Received: 2015-08-26.
Revised: 2016-01-26.
Accepted: 2016-01-28.
Published online: 2016-04-01.
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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