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
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.
