Geodesic
On the connectedness of boundary and complement for domains
Andrzej Czarnecki1 ; Marcin Kulczycki1 ; Wojciech Lubawski2
1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
Annales Polonici Mathematici, Tome 103 (2012) no. 2, pp. 189-191

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This article gives a short and elementary proof of the fact that the connectedness of the boundary of an open domain in $\mathbb R^n$ is equivalent to the connectedness of its complement.
DOI : 10.4064/ap103-2-6
Keywords: article gives short elementary proof the connectedness boundary domain mathbb equivalent connectedness its complement

Andrzej Czarnecki 1 ; Marcin Kulczycki 1 ; Wojciech Lubawski 2

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland 
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Andrzej Czarnecki; Marcin Kulczycki; Wojciech Lubawski. On the connectedness of boundary and complement for domains. Annales Polonici Mathematici, Tome 103 (2012) no. 2, pp. 189-191. doi: 10.4064/ap103-2-6

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