Space Topology, Homeomorphism $ \mathbb{R}^ 2 - {(0,0)} $ plane is a homeomorphism at $ S ^ 1 \times (0, \infty) $
44559
Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$
94059
Extending a Homotopy from $X \times [0,1]$ to $X \times \mathbb{R}$
31479
homeomorphism of cantor set extends to the plane?
46771
$X$ is homeomorphic to $X\times X$ (TIFR GS $2014$)
79213
Proof about a Topological space being arc connect
111838
Prove that a standard torus is diffeomorphic to $ \mathbb S^1\times \mathbb S^1$
6227
Showing diffeomorphism between $S^1 \subset \mathbb{R}^2$ and $\mathbb{RP}^1$
41872
Show that $\mathbb{R}^2$ is not homeomorphic to $\mathbb{R}^2 \setminus\{(0,0)\}$
157002
Connected compact covering space of torus is homeomorphic to $S^1\times S^1$
12060
Homeomorphism to graph
82814
Homework question on whether two quotient spaces are homeomorphic
35569
Prove that $[0,1]$ isn't homeomorphic to $\mathbb{R}$
34699
A continuous bijection from a compact space to a $T_2$ space is always a homeomorphism
143831
Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
92303
Homology of $S^1 \times (S^1 \vee S^1)$
14713
$X=(-\infty,0]\cup\left\{{1\over n}:n\in\mathbb N\right\}$ with subspace topology Then
37206
$\mathbb{R}^n\times\{0\}$ has measure zero in $\mathbb{R}^{n+1}$