Given measure zero $X \subset [0,1]^2$, find dense $Y \subset [0,1]^2$ s.t. no absolute differences of pairs are in $X$
64920
Boundary Question in $\mathbb{R}^{2}$ (Manifolds)
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 $[0,1]$.
60110
The set of differences for a set of positive Lebesgue measure
93389
Uncountable sets of Hausdorff dimension zero
30105
Multiples of an irrational number forming a dense subset
78256
Finite additivity in outer measure
17764
What's the relationship between Borel set and set whose boundary is measure zero?
102250
Subset of $C[0,1]$ is nowhere dense
84609
Unary intersection of the empty set
17461
Show that a set is dense in $[-1,1]$
22558
Vitali-type set with given outer measure
57839
Real analysis: density and continuity
78915
Density of the set $S=\{m/2^n| n\in\mathbb{N}, m\in\mathbb{Z}\}$ on $\mathbb{R}$?
55019
Lebesgue density theorem in the line
124732
Finding a nonempty subset that is not a subgroup
135112
Outer measure of product of sets
90590
Prove that the following set is dense