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The Borel structure of some non-Lebesgue sets

Don L. Hancock — 2004

Colloquium Mathematicae

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.

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