$\mathbb{Q}$ dense in $\mathbb{R}$ does also $\mathbb{Q^2}$ dense in $\mathbb{R^2}$?
92740
prove that $\mathbb{Q}^n$is dense subset of $\mathbb{R^n}$
135441
When is $\mathbb{Z}[\alpha]$ dense in $\mathbb{C}$?
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
108955
Showing $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R},+)$
30568
Let $q \in \mathbb C$, $\|q\|=1$ and $q^n \neq 1, \forall n \in \mathbb N$. Show that $\{q^n: n \in \mathbb N\}$ is dense in $S^1$
19754
$\mathbb{R}$ \ $\mathbb{Q}$ and $\mathbb{R}^2\setminus\mathbb{Q}^2$ disconnected?
15344
Let $a_n=\cos(a_{n-1}), L=[a_1,a_2,...,a_n,...].$ Is there an $a_0$ such that $L$ is dense in$[-1,1]?$
53331
$\mathbb{Q}(\sqrt2, \sqrt3)$ is not isomorphic to $\mathbb{Q}(\sqrt[4]2)$
5250
Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?
27188
Bijection between $\mathbb{R}$ and $\mathbb{R}/\mathbb{Q}$
142577
Algebraic proof that a set generated by irrational rotations is dense in $S^1$.
121831
Proving that rational numbers are dense
22865
Sine function dense in $[-1,1]$
13550
For an irrational number $\alpha$, prove that the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
15695
Is ${\rm conv}({\rm ext}((C(X))_1))$ dense in $(C(X))_1$?
50934
Let $x_n \in[0,1)$ s.t $x_n - \sqrt{n}\in \mathbb{Z}$. Prove that $X=\{x_n | n\in \mathbb{N}\}$ is dense in $[0,1]$.