$\{e^{ik}\mid k\in \Bbb N\}$ is dense in $S^1$
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 $S^1$
94469
How to prove that $|HK| = \dfrac{|H| \; |K|}{|H \cap K|}$?
135441
When is $\mathbb{Z}[\alpha]$ dense in $\mathbb{C}$?
51514
Is $n \sin n$ dense on the real line?
158018
Everywhere Super Dense Subset of $\mathbb{R}$
108305
How can we show that the dyadic rationals are dense in $\mathbb R$?
111898
Is $\{ (e^{2\pi i a n},e^{2\pi i b n }) : n \in \mathbb{Z} \}$ dense in the torus, where $a,b$ irrationals such that $a/b$ irrational?
127678
A partition of the unit interval into uncountably many dense uncountable subsets
36546
For an irrational number $a$ the fractional part of $na$ for $n\in\mathbb N$ is dense in $[0,1]$
44430
Is there an open dense set $S \subset [0,1]$ such that $m(S)<1$?
27629
How to prove that $S^{2n+1}/S^1$ is homeomorphic to $\mathbb CP^n$ under a given identification
78082
Dense subset of two Banach spaces also dense in the intersection
110217
$GL(n,K)$ is open in $M(n,K)$
68490
For $x\in\mathbb R\setminus\mathbb Q$, the set $\{nx-\lfloor nx\rfloor: n\in \mathbb{N}\}$ is dense on $[0,1)$
135772
how to show image of a non constant entire function is dense in $\mathbb{C}$?
26256
Characterizing Dense Subgroups of the Reals
52014
Showing $(C[0,1], d_1)$ is not a complete metric space