Why is the circle homeomorphic to $\mathbb{R/Z}$
70082
Show: Quotient space is homeomorphic to unit sphere
149971
Closed unit disk homeomorphic to $\mathbb{R}^2$?
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$
88155
Show that $[0, 1)\times[0, 1)$ is homeomorphic to $[0, 1]\times[0, 1)$ but not to $[0, 1]\times[0, 1]$.
1020
Proving that $\mathbb{Z}[\sqrt{2}]$ is a Euclidean domain
113898
Why is that $\widehat{\mathbb{R}/\mathbb{Z}}\cong\mathbb{Z}$?
51695
Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$
19310
Identify the ring $\mathbb{Z}[x]/(2x)$
85870
Show this set is a base for some topology on $\mathbb{Z}$
31633
Why is every holomorphic bijection of the Riemann sphere a Möbius transformation?
115173
The Cantor set is homeomorphic to infinite product of $\{0,1\}$ with itself - cylinder basis - and it topology
39453
How do I prove that $S^n$ is homeomorphic to $S^m \Rightarrow m=n$?
145077
A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?
18034
Is there an equivalence relation of which the quotient topology is homeomorphic to codomain of a quotient map?
38378
$M= \{ A \in Mat_{2 \times 2}{\mathbb{R}}| \det(A)=1 \}$ is homeomorphic to $S^{1} \times \mathbb{R}^{2}$
63731
Can we characterize the Möbius transformations that maps the unit disk into itself?
26197
$B^n/S^{n-1}$ is homeomorphic to $S^n$