On the connectedness of boundary and complement for domains

Andrzej Czarnecki; Marcin Kulczycki; Wojciech Lubawski

Annales Polonici Mathematici (2011)

  • Volume: 103, Issue: 2, page 189-191
  • ISSN: 0066-2216

Abstract

top
This article gives a short and elementary proof of the fact that the connectedness of the boundary of an open domain in ℝⁿ is equivalent to the connectedness of its complement.

How to cite

top

Andrzej Czarnecki, Marcin Kulczycki, and Wojciech Lubawski. "On the connectedness of boundary and complement for domains." Annales Polonici Mathematici 103.2 (2011): 189-191. <http://eudml.org/doc/280156>.

@article{AndrzejCzarnecki2011,
abstract = {This article gives a short and elementary proof of the fact that the connectedness of the boundary of an open domain in ℝⁿ is equivalent to the connectedness of its complement.},
author = {Andrzej Czarnecki, Marcin Kulczycki, Wojciech Lubawski},
journal = {Annales Polonici Mathematici},
keywords = {open domain; connectedness; boundary; complement},
language = {eng},
number = {2},
pages = {189-191},
title = {On the connectedness of boundary and complement for domains},
url = {http://eudml.org/doc/280156},
volume = {103},
year = {2011},
}

TY - JOUR
AU - Andrzej Czarnecki
AU - Marcin Kulczycki
AU - Wojciech Lubawski
TI - On the connectedness of boundary and complement for domains
JO - Annales Polonici Mathematici
PY - 2011
VL - 103
IS - 2
SP - 189
EP - 191
AB - This article gives a short and elementary proof of the fact that the connectedness of the boundary of an open domain in ℝⁿ is equivalent to the connectedness of its complement.
LA - eng
KW - open domain; connectedness; boundary; complement
UR - http://eudml.org/doc/280156
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.