On some representations of almost everywhere continuous functions on
Tom 105 / 2006
Colloquium Mathematicum 105 (2006), 319-331
MSC: 26B05, 26B35, 54C08, 54C30.
DOI: 10.4064/cm105-2-12
Streszczenie
It is proved that the following conditions are equivalent: (a) f is an almost everywhere continuous function on {{\mathbb R}}^m ; (b) f=g+h, where g,h are strongly quasicontinuous on {{\mathbb R}}^m; (c) f=c+gh, where c \in {{\mathbb R}} and g,h are strongly quasicontinuous on {{\mathbb R}}^m.