The notions of smooth points of the boundary of an open set and α(·) intrinsically paraconvex sets are introduced. It is shown that for an α(·) intrinsically paraconvex open set the set of smooth points is a dense -set of the boundary.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-3-2, author = {S. Rolewicz}, title = {On smooth points of boundaries of open sets}, journal = {Studia Mathematica}, volume = {192}, year = {2009}, pages = {211-214}, zbl = {1172.46011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-3-2} }
S. Rolewicz. On smooth points of boundaries of open sets. Studia Mathematica, Tome 192 (2009) pp. 211-214. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-3-2/