In: Tatra Mountains Mathematical Publications, vol. 74, no. 2
Dávid Uhrik - Jaroslav Šupina
Details:
Year, pages: 2019, 145 - 158
Language: eng
Keywords:
semicontinuous function, Young hierarchy, $\ambign{2}$-measurable function, composition, piecewise continuous
Article type: mathematics
Document type: Scientific article *.pdf
About article:
We discuss several questions about Borel measurable functions on a topological space. We show that two Lindenbaum composition theorems [lindenbaum] proved for the real line hold in perfectly normal topological space as well. As an application, we extend a characterization of a certain class of topological spaces with hereditary Jayne-Rogers property for perfectly normal topological space. Finally, we pose an interesting question about lower and upper $\ambign{2}$-measurable functions.
How to cite:
ISO 690:
Uhrik, D., Šupina, J. 2019. On a Lindenbaum composition theorem. In Tatra Mountains Mathematical Publications, vol. 74, no.2, pp. 145-158. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2019-0025
APA:
Uhrik, D., Šupina, J. (2019). On a Lindenbaum composition theorem. Tatra Mountains Mathematical Publications, 74(2), 145-158. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2019-0025
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 25. 10. 2019
Rights:
Licensed under the Creative Commons Attribution-NC-ND4.0 International Public License.