The Borel structure of some non-Lebesgue sets
Colloquium Mathematicae (2004)
- Volume: 100, Issue: 1, page 95-101
- ISSN: 0010-1354
Access Full Article
top
Abstract
topHow to cite
topDon L. Hancock. "The Borel structure of some non-Lebesgue sets." Colloquium Mathematicae 100.1 (2004): 95-101. <http://eudml.org/doc/283907>.
@article{DonL2004,
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.},
author = {Don L. Hancock},
journal = {Colloquium Mathematicae},
keywords = {approximate continuity; Baire 1 class; Lebesgue point},
language = {eng},
number = {1},
pages = {95-101},
title = {The Borel structure of some non-Lebesgue sets},
url = {http://eudml.org/doc/283907},
volume = {100},
year = {2004},
}
TY - JOUR
AU - Don L. Hancock
TI - The Borel structure of some non-Lebesgue sets
JO - Colloquium Mathematicae
PY - 2004
VL - 100
IS - 1
SP - 95
EP - 101
AB - 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.
LA - eng
KW - approximate continuity; Baire 1 class; Lebesgue point
UR - http://eudml.org/doc/283907
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.