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

• Autorzy: Karlova O. , Fodchuk O.

Identyfikatory

DOI

10.7494/OpMath.2016.36.4.481

• Języki publikacji: EN

Abstrakty

EN

We study the Baire measurabiiity of functions denned on [formula] which are continuous with respect to the product topology on a power [formula] of Sorgenfrey lines.

Słowa kluczowe

EN

Baire-one function; Sorgenfrey line; equiconnected space

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 4
• Strony: 481--488
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Karlova O.

• Chernivtsi National University Faculty of Mathematics and Informatics Department of Mathematical Analysis Kotsyubyns'koho str., 2, Chernivtsi, Ukraine

autor

Fodchuk O.

• Chernivtsi National University Faculty of Mathematics and Informatics Department of Mathematical Analysis Kotsyubyns'koho str., 2, Chernivtsi, Ukraine

Bibliografia

• [1] W. Bade, Two properties of the Sorgenfrey plane, Pacif. J. Math. (1971), 349-354.
• [2] T. Banakh, (Metrically) quarter-stratifiable spaces and their applications, Math. Stud. 18 (2002) 2, 10-28.
• [3] R. Engelking, Theory of Dimensions, Finite and Infinite. Revised and Completed Edition, Heldermann Verlag, Lemgo, 1995.
• [4] O. Karlova, V. Maslyuchenko, V. Mykhaylyuk, Equiconnected spaces and Baire classification of separately continuous functions and their analogs, Cent. Eur. J. Math. 10 (2012) 3, 1042-1053.
• [5] O. Karlova, V. Mykhaylyuk, Functions of the first Baire class with values in metrizable spaces, Ukr. Math. J. 58 (2006) 4, 567-571 [in Ukrainian].
• [6] S. Mazur, On continuous mappings on Cartesian products, Fund. Math. 39 (1952), 229-238.
• [7] S. Mrówka, Some problems related to N-compact spaces, preprint.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.