The Borel structure of some non-Lebesgue sets

• Autorzy: Don L. Hancock
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 26A21: Classification of real functions; Baire classification of sets and functions
• 26A24: Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 100
• Numer: 1
• Strony: 95-101

Daty

wydano

2004

Twórcy

autor

Don L. Hancock

• Department of Mathematics, Pepperdine University, Malibu, CA 90263, U.S.A.

Identyfikatory

DOI

10.4064/cm100-1-9