The existence of a measurable set with measure between rationals and the reals
3023
Construction of a Borel set with positive but not full measure in each interval
97557
supremum of uncountable families of Borel measurable functions
47187
Proving the measure of an increasing sequence of measurable sets is the limit of the measures
30796
Is the set of irrationals separable as a subspace of the real line?
37361
Is there a measurable set $A$ such that $m(A \cap B) = \frac12 m(B)$ for every open set $B$?
7681
How can this theorem about weakly measurable functions on $\sigma$-finite measure spaces be deduced from the finite measure space case?
115219
If $E$ is Lebesgue measurable, show that there exists a closed set $F$ with $F \subset E$ and $m(E\setminus F)<\epsilon$
60032
If the measure of union = sum of outer measures, then the sets are measurable
138446
Proving that there exists an irrational number in between any given real numbers
147546
$f: \mathbf{R} \rightarrow \mathbf{R}$ monotone increasing $\Rightarrow$ $f$ is measurable
19632
Intuition behind the definition of a measurable set
121504
Supremum of a product measurable function...
146707
Formally show that the set of continuous functions is not measurable
97841
General property regarding outer measure for a nested sequence of sets (measurable or not).
98897
Proving that the set of $\nu$ measurable sets $M\subseteq P(X)$ is an algebra
57581
Let $E$ be measurable and define $f:E\rightarrow\mathbb{R}$ such that $\{x\in E : f(x)>c\}$ is measurable for all $c\in\mathbb{Q}$, is $f$ measurable?
96286
Proving that sum of two measurable functions is measurable.