Show $(S^1\times [0,1])/$~ is homeomorphic to $D^2$
57816
$(S^1 \times [0,1])/\sim$ homeomorphic to unit disk $ D^2$
5250
Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?
118622
Local diffeomorphism from $\mathbb R^2$ onto $S^2$
27855
Show that $(a,b)\times (c,d)$ is an open set in $\mathbb{R}^2$ with the Euclidian metric.
81238
Is $O(2)$ really not isomorphic to $SO(2)\times \{-1,1\}$?
65809
Show that $d_2$ defined by $d_2(x,y)=\frac{|x-y|}{1+|x-y|}$ is a metric
46771
$X$ is homeomorphic to $X\times X$ (TIFR GS $2014$)
70082
Show: Quotient space is homeomorphic to unit sphere
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
39453
How do I prove that $S^n$ is homeomorphic to $S^m \Rightarrow m=n$?
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
119579
$S^2 \times S^2$ is diffeomophic to $G_2(\mathbb{R}^4)$
89215
How to describe the quotient group $\mathbb{Z} \times \mathbb{Z} / \langle (1, 2) \rangle$
111348
Show that $\mathrm{S}_{m} \times \mathbb{N}^{m} \rightarrow \mathbb{N}^{m}$ defines an action of $\mathrm{S}_{m}$ on $\mathbb{N}^{m}$
82458
Homeomorphism between the unit disc and the unit square
40490
Birational isomorphism $\mathbb{P}^n\times \mathbb{P}^m\to \mathbb{P}^{n+m}$
112329
Show that $d(z,a)=|\frac{z-a}{1-\overline{a}z}|$ is a metric on the unit disk