The Borel structure of some non-Lebesgue sets
Tom 100 / 2004
Colloquium Mathematicum 100 (2004), 95-101
MSC: 26A21, 26A24.
DOI: 10.4064/cm100-1-9
Streszczenie
For a given function in some classes related to real derivatives, we examine the structure of the set of points which are not Lebesgue points. In particular, we prove that for a summable approximately continuous function, the non-Lebesgue set is a nowhere dense nullset of at most Borel class 4.
