On smooth points of boundaries of open sets
Studia Mathematica, Tome 191 (2009) no. 3, pp. 211-214
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
notions smooth points boundary set alpha cdot intrinsically paraconvex sets introduced shown alpha cdot intrinsically paraconvex set set smooth points dense delta set boundary
Affiliations des auteurs :
S. Rolewicz  1
@article{10_4064_sm191_3_2,
author = {S. Rolewicz},
title = {On smooth points of boundaries of open sets},
journal = {Studia Mathematica},
pages = {211--214},
year = {2009},
volume = {191},
number = {3},
doi = {10.4064/sm191-3-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm191-3-2/}
}
S. Rolewicz. On smooth points of boundaries of open sets. Studia Mathematica, Tome 191 (2009) no. 3, pp. 211-214. doi: 10.4064/sm191-3-2
Cité par Sources :