Dense set on unit circle
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 $S^1$
57839
Real analysis: density and continuity
49563
Cauchy nets in a metric space
79974
The cardinality of Lebesgue sets
98755
How can I show that the set of rational numbers with denominator a power of two form a dense subset of the reals?
142577
Algebraic proof that a set generated by irrational rotations is dense in $S^1$.
61204
Mapping that takes unit circle to unit circle
74498
Smallest dense subset of $\mathbb{R}$
36546
For an irrational number $a$ the fractional part of $na$ for $n\in\mathbb N$ is dense in $[0,1]$
157572
The distance between two sets inside euclidean space
145726
For a subfield $K$ of $\Bbb C$ with $K\nsubseteq \Bbb R$, show $K$ is dense in $\Bbb C$.
70645
Borel set preserved by continuous map
132382
Showing a set is nowhere dense in $C([0,1])$
12212
Showing a certain subspace of Hilbert space is dense
97064
Dense set in an infinite cofinite space
26256
Characterizing Dense Subgroups of the Reals
6793
A linearly independent set about approximate units