Proving that $(T S^n) \times \mathbb R$ is diffeomorphic to $S^n\times \mathbb R^{n+1}$
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$
12469
$\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
83874
Prove that Hopf maps on $S^3, S^2$ and $\mathbb{C} \mathbb{P}^1$ are smooth submersions
20383
True or False: there is a space $X$ such that $S^1$ is homeomorphic to $X\times X$
5250
Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?
156910
Necessary and sufficient condition for $R/IJ \cong R/I \times R/J$
27265
Continuously differentiable map from $\mathbb{R}^{m+n}$ to $\mathbb{R}^n$
16512
Product of $T_1$ spaces is $T_1$
101861
How do you prove that $tr(B^{T} A )$ is a inner product?
121886
Proving image of $f:D^n\rightarrow \mathbb{R}^n \;$ contains $\;D^n$
24561
$\mathbb S_n$ as semidirect product
37635
Diffeomorphism group of the unit circle
52556
Isomorphism of $S^1$.
40490
Birational isomorphism $\mathbb{P}^n\times \mathbb{P}^m\to \mathbb{P}^{n+m}$
27629
How to prove that $S^{2n+1}/S^1$ is homeomorphic to $\mathbb CP^n$ under a given identification
39455
Prove that $(X\times Y)\setminus (A\times B)$ is connected
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$