A classical theorem of W.Sierpi\'nski, S. Mazurkiewicz and S.Kempistysays that the class of all differences of lower semicontinuous functions isuniformly dense in the space of all Baire--one functions. We show ageneralization of this result to a more general situations and derive anabstract theorem in the case of a binormal topological space.
@article{365,
title = {Approximations by differences of lower semicontinuous functions},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v62i0.365},
language = {EN},
url = {http://dml.mathdoc.fr/item/365}
}
Omasta, Eduard. Approximations by differences of lower semicontinuous functions. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v62i0.365. http://gdmltest.u-ga.fr/item/365/