# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## On smooth points of boundaries of open sets

### Tom 191 / 2009

Studia Mathematica 191 (2009), 211-214 MSC: 46B99, 52A30. DOI: 10.4064/sm191-3-2

#### Streszczenie

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.

#### Autorzy

• S. RolewiczInstitute of Mathematics