On the connectedness of boundary and complement for domains
Andrzej Czarnecki ; Marcin Kulczycki ; Wojciech Lubawski
Annales Polonici Mathematici, Tome 101 (2011), / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:280156 
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     author = {Andrzej Czarnecki and Marcin Kulczycki and Wojciech Lubawski},
     title = {On the connectedness of boundary and complement for domains},
     journal = {Annales Polonici Mathematici},
     volume = {101},
     year = {2011},
     zbl = {1243.57016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-2-6}
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Andrzej Czarnecki; Marcin Kulczycki; Wojciech Lubawski. On the connectedness of boundary and complement for domains. Annales Polonici Mathematici, Tome 101 (2011) . http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-2-6/