Tatra Mountains Mathematical Publications
Special Issue Title: Real Functions ’14
O artykule
Data publikacji: 25 wrz 2015
Zakres stron: 183 - 190
Otrzymano: 19 sty 2015
DOI: https://doi.org/10.1515/tmmp-2015-0015
© 2015
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
A classical theorem of W. Sierpiński, S. Mazurkiewicz and S. Kempisty says that the class of all differences of lower semicontinuous functions is uniformly dense in the space of all Baire-one functions. We show a generalization of this result to more general situations and derive an abstract theorem in the case of a binormal topological space.