Lebesgue measure of sets with cardinality greater than $ℵ_1$
35713
Let $X\subset \mathbb{R}$ Lebesgue measurable, $|X|<|\mathbb{R}|$, is it true that $X$ is null?
69273
Is there a compact subset of the irrationals with positive Lebesgue measure?
146062
A "Cantor-Schroder-Bernstein" theorem for partially-ordered-sets
19289
complement of a set and its measure
116676
Examples of uncountable sets with zero Lebesgue measure
65595
Let $\lambda(A)$ be the Lebesgue measure of $A$. There exists an interval $I$ such that $\lambda(E \cap I) / \lambda(I) < 1-\epsilon$
144787
Show that the set of all infinite subsets of $\mathbb{N}$ has cardinality greater than $\mathbb{N}$
101669
Cardinality of the Set of all finite subset of $\mathbb{R}$
14972
Cardinality of Vitali sets: countably or uncountably infinite?
113227
Measure spaces are proper subsets
98580
Lebesgue-measurable sets requiring the Axiom of Choice to construct
60868
Interplay of Hausdorff metric and Lebesgue measure
12436
The cardinality of the set of all finite subsets of an infinite set
32347
Limit of a decreasing sequence of measurable sets.
60032
If the measure of union = sum of outer measures, then the sets are measurable
53663
outer measure and measurable sets
92571
Sets with no asymptotical density over $\mathbb N$