Every Lebesgue measurable set contains a closed subset such that the set difference has small measure
115219
If $E$ is Lebesgue measurable, show that there exists a closed set $F$ with $F \subset E$ and $m(E\setminus F)<\epsilon$
57206
Lebesgue measure on probability measure
28391
Prove the compactness of a set B
144817
Proving Caratheodory measurability if and only if the measure of a set summed with the measure of its complement is the measure of the whole space.
49719
Almost Everywhere Convergence versus Convergence in Measure
5251
If $F$ is closed, does there exist a finite measure on $[0,1]$ with support $F$?
51260
Sum of sets of measure zero
52104
A pseudometric on the space of the measurable functions is complete
154621
A set with a finite integral of measure zero?
44270
$E$ measurable set and $m(E\cap I)\le \frac{1}{2}m(I)$ for any open interval, prove $m(E) =0$
118353
For set of positive measure $E$, $\alpha \in (0, 1)$, there is interval $I$ such that $m(E \cap I) > \alpha \, m(I)$
102048
Closure of a compact set in Regular space $ X $
116676
Examples of uncountable sets with zero Lebesgue measure
138055
If $A$ has a positive Lebesgue measure then there exist subsets which are not measurable
84359
On Lebesgue Outer Measure of an interval
100282
Measure Convergence Version of Lebesgue Dominated Convergence Theorem
79974
The cardinality of Lebesgue sets