On smooth points of boundaries of open sets

S. Rolewicz

Studia Mathematica (2009)

  • Volume: 191, Issue: 3, page 211-214
  • ISSN: 0039-3223

Abstract

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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 G δ -set of the boundary.

How to cite

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S. Rolewicz. "On smooth points of boundaries of open sets." Studia Mathematica 191.3 (2009): 211-214. <http://eudml.org/doc/284779>.

@article{S2009,
abstract = {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 $G_\{δ\}$-set of the boundary.},
author = {S. Rolewicz},
journal = {Studia Mathematica},
keywords = {smooth points; intrinsically paraconvex sets},
language = {eng},
number = {3},
pages = {211-214},
title = {On smooth points of boundaries of open sets},
url = {http://eudml.org/doc/284779},
volume = {191},
year = {2009},
}

TY - JOUR
AU - S. Rolewicz
TI - On smooth points of boundaries of open sets
JO - Studia Mathematica
PY - 2009
VL - 191
IS - 3
SP - 211
EP - 214
AB - 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 $G_{δ}$-set of the boundary.
LA - eng
KW - smooth points; intrinsically paraconvex sets
UR - http://eudml.org/doc/284779
ER -

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