On the connectedness of boundary and complement for domains
Volume 103 / 2011
Annales Polonici Mathematici 103 (2011), 189-191
MSC: Primary 57N15; Secondary 54D05.
DOI: 10.4064/ap103-2-6
Abstract
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.
