How to Prove $\mathbb R\times \mathbb R \sim \mathbb R$?
14322
Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
29965
Proving that $m+n\sqrt{2}$ is dense in $\mathbb R$
24561
$\mathbb S_n$ as semidirect product
5250
Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?
37206
$\mathbb{R}^n\times\{0\}$ has measure zero in $\mathbb{R}^{n+1}$
38200
Show that $(\mathbf{a}·\mathbf{a})(\mathbf{b}·\mathbf{b})-(\mathbf{a}·\mathbf{b})^2=(\mathbf{a}\times\mathbf{b})·(\mathbf{a}\times\mathbf{b})$?
64130
Prove that $\mathbb{Q}^{\times}$ not isomorphic to $\mathbb{Z}^{n}$
35626
Is $(\mathbb{R}^2, lexicographic) \cong (\mathbb{R}, discrete)\times (\mathbb{R}, usual)$?
62566
Does $X\times S^1\cong Y\times S^1$ imply that $X\times\mathbb R\cong Y\times\mathbb R$?
138058
Prove that $\mathbb Z_{m}\times\mathbb Z_{n} \cong \mathbb Z_{mn}$ implies $\gcd(m,n)=1$.
70861
$\mathbb P^n\times \mathbb P^m\not\cong \mathbb P^{m+n}$
39114
Prove that a set in $\mathbb R^3$ is not an algebraic set
17748
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
151425
Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
156910
Necessary and sufficient condition for $R/IJ \cong R/I \times R/J$
2575
Showing that $\mathbb{R}$ is connected