Denseness of the set $\{ m+n\alpha : m\in\mathbb{N},n\in\mathbb{Z}\}$ with $\alpha$ irrational
13550
For an irrational number $\alpha$, prove that the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$
97064
Dense set in an infinite cofinite space
26256
Characterizing Dense Subgroups of the Reals
77129
Density of irrationals
3296
Proof That $\mathbb{R} \setminus \mathbb{Q}$ Is Not an $F_{\sigma}$ Set
137081
Is the set of real matrices diagonalizable in $\mathcal M_n(C)$ dense in the set of all companion matrices?
59477
Density of orthogonal matrices with rational coefficients
132382
Showing a set is nowhere dense in $C([0,1])$
104234
What is the Hausdorff dimension of the set of irrationals on $\mathbb R^1$
158011
$C_c^{\infty}(\mathbb R^n)$ is dense in $W^{k,p}(\mathbb R^n)$
88523
Show that $A=\{ \frac{m}{2^n}:m\in \mathbb {Z},n\in \mathbb {N} \} $ is dense in $\mathbb {R}$
30523
A binary irrational with bits defined by primes
126015
Elementary number theory in sets
150337
Let $K$ be a subfield of $\mathbb{C}$ not contained in $\mathbb{R}$. Show that $K$ is dense in $\mathbb{C}$.
35105
Density of ring of algebraic integers in $\mathbb C$
79767
Properties of $x_k=\frac{a_{k+1}-a_{k}}{a_{k+1}}$ where $\{a_n\}$ is unbounded, strictly increasing sequence of positive reals
104016
Limit point of the set $G= \{1/n: n \in \mathbb N\}$?