In this note, we introduce the notion of regular density. Next, we prove that$x \in \R$ is the regular density point of ameasurable set $A$ if and only if it is an O'Malley point of $A.$
@article{173,
title = {On points of the regular density},
journal = {Tatra Mountains Mathematical Publications},
volume = {51},
year = {2012},
doi = {10.2478/tatra.v52i0.173},
language = {EN},
url = {http://dml.mathdoc.fr/item/173}
}
Lindner, Sebastian; Wilczyński, Władysław. On points of the regular density. Tatra Mountains Mathematical Publications, Tome 51 (2012) . doi : 10.2478/tatra.v52i0.173. http://gdmltest.u-ga.fr/item/173/