Condition for ({$n\alpha$},{$n\beta$}) being dense on [0,1]$\times$[0,1]
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?
118353
For set of positive measure $E$, $\alpha \in (0, 1)$, there is interval $I$ such that $m(E \cap I) > \alpha \, m(I)$
97583
Let $\alpha, \beta, \gamma$ be cardinals, $\beta \leq \gamma$, prove $\alpha ^{\beta}\le \alpha ^{\gamma}$
8557
Invertible Matrices are dense
36546
For an irrational number $a$ the fractional part of $na$ for $n\in\mathbb N$ is dense in $[0,1]$
158011
$C_c^{\infty}(\mathbb R^n)$ is dense in $W^{k,p}(\mathbb R^n)$
4381
Proof that the set of irrational numbers is dense in reals
22865
Sine function dense in $[-1,1]$
81150
Positive integer multiples of an irrational mod 1 are dense
64487
Continuous function and dense set
80559
In $C[0,1]$ prove that the subset of Lipschitz functions is dense
152280
An absolute convergence criterion in $\Bbb C$
31990
Is $\{\frac{m}{10^n}\mid m,n\in\mathbb Z,\ n\geq 0\}$ dense in $\mathbb R$?
33309
Subgroup of $\mathbb{R}$ either dense or has a least positive element?
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 $S^1$
63413
For a set of positive measure there is an interval in which its density is high, $\mu(E\cap I)> \rho \mu(I)$
106434
Prove that for a dense set $A$ and an open set $U$, $U\subset \overline{A\cap U}$