Is it true that every contractible open subset of $\mathbb{R}^n$ is homeomorphic to $\mathbb{R}^n$?
Are contractible open sets in $\mathbb{R}^n$ homeomorphic to $\mathbb R^n$?
29
$\begingroup$
general-topology
-
0The title is somewhat opaque... – 2011-08-02
-
0Related MathOverflow questions: http://mathoverflow.net/questions/64192/is-there-a-classification-of-open-subsets-of-euclidean-space-up-to-homeomorphism, http://mathoverflow.net/questions/4468/what-are-the-open-subsets-of-mathbbrn-that-are-diffeomorphic-to-mathbb – 2011-08-02