First-class Baire functions with values in the Sorgenfrey line
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Jan Kokhanowski University, Kielce, 25-001, Poland
3 Institute of Mathematics, University of Silesia in Katowice, Katowice, 40-007, Poland
Keywords:
first-class Baire functions, the Sorgenfrey line
Abstract
The relations between the Baire-one mappings and the Lebesgue-one mappings with values in Sorgenfrey line are investigated.
References
[1] Kuratovsky K. Topology. V.1. - M.: Mir, 1966. - 594 p.
[2] Engelking R. General topology. - M.: Mir, 1986. - 752 p.
[3] Karlova O.O. First-class Beer mappings defined on weakly ultranormal spaces // Differential equations and their applications. International conference, October 11-14, 2006. Abstracts. - Chernivtsi: Ruta, 2006. - P. 58.
[4] Natanson I.P. Theory of functions of a real variable. - M.: Nauka, 1974. - 480 p.
Cite
- ACS Style
- Karlova, O.; Maslyuchenko, O.V. First-class Baire functions with values in the Sorgenfrey line. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Karlova O, Maslyuchenko OV. First-class Baire functions with values in the Sorgenfrey line. Bukovinian Mathematical Journal. 2018; 1(336).
- Chicago/Turabian Style
- Olena Karlova, Oleksandr Volodymyrovych Maslyuchenko. 2018. "First-class Baire functions with values in the Sorgenfrey line". Bukovinian Mathematical Journal. 1 no. 336.
Export