The Borel structure of some non-Lebesgue sets
Colloquium Mathematicum, Tome 100 (2004) no. 1, pp. 95-101.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm100-1-9
Mots-clés : given function classes related real derivatives examine structure set points which lebesgue points particular prove summable approximately continuous function non lebesgue set nowhere dense nullset borel class

Don L. Hancock 1

1 Department of Mathematics Pepperdine University Malibu, CA 90263, U.S.A.
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Don L. Hancock. The Borel structure of some non-Lebesgue sets. Colloquium Mathematicum, Tome 100 (2004) no. 1, pp. 95-101. doi : 10.4064/cm100-1-9. https://geodesic-test.mathdoc.fr/articles/10.4064/cm100-1-9/

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