A+ CATEGORY SCIENTIFIC UNIT

The Borel structure of some non-Lebesgue sets

Volume 100 / 2004

Don L. Hancock Colloquium Mathematicum 100 (2004), 95-101 MSC: 26A21, 26A24. DOI: 10.4064/cm100-1-9

Abstract

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.

Authors

  • Don L. HancockDepartment of Mathematics
    Pepperdine University
    Malibu, CA 90263, U.S.A.
    e-mail

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