Are any two open, connected subsets of $\Bbb{R}^n$ homeomorphic? This seems intuitively true.
[Math] Are any two open connected subsets of $\Bbb{R}^n$ homeomorphic
general-topology
general-topology
Are any two open, connected subsets of $\Bbb{R}^n$ homeomorphic? This seems intuitively true.
Best Answer
1 $\neq$ 0 $\neq$ 8
(Think of these as being open subsets of the plane. The set consists of the area that is colored black. Remove the infinitely thin boundary)