The regular density on the plane
Abstract
In the note [1] the notion of the regular density point of the measurable subset of the real line was introduced. Then it was shown that the new definition is equivalent to the definition of O’Malley points, which has been examined in [2]. In this note we demonstrate that the analogous definitions for measurable subsets of the plane are not equivalent.
References
S. Lindner, W. Wilczyński, On points of the regular density, (to appear, preprint 2010/08 available at http://www.math.uni.lodz.pl/preprints,all.html ).
##plugins.generic.googleScholarLinks.settings.viewInGS##
W. Poreda, W. Wilczyński, Topology similar to the density topology, Bull. Soc. Sci. Lett. Łódź Sér. Rech. Déform. 34 (2001), 55–60.
##plugins.generic.googleScholarLinks.settings.viewInGS##
