On smooth points of boundaries of open sets
Volume 191 / 2009
Studia Mathematica 191 (2009), 211-214
MSC: 46B99, 52A30.
DOI: 10.4064/sm191-3-2
Abstract
The notions of smooth points of the boundary of an open set and $\alpha (\cdot )$ intrinsically paraconvex sets are introduced. It is shown that for an $\alpha (\cdot )$ intrinsically paraconvex open set the set of smooth points is a dense $G_{\delta }$-set of the boundary.