The function defined with the Lebesgue's measure is measurable
122758
Are Monotone functions Borel Measurable?
58827
Absolute value of a measurable function is measurable
98580
Lebesgue-measurable sets requiring the Axiom of Choice to construct
121504
Supremum of a product measurable function...
60032
If the measure of union = sum of outer measures, then the sets are measurable
83665
Prove a assertion concerning Lebesgue space
123806
How do I show that the integral of $e^{inx}$ over a set of measure $1$ is nonzero for some nonzero $n$?
47187
Proving the measure of an increasing sequence of measurable sets is the limit of the measures
1474
How to prove limit of measurable functions is measurable
124335
An identity for Fourier transform of measure
126227
continuity of a probability measure if $\mu (\{x\})=0$
65595
Let $\lambda(A)$ be the Lebesgue measure of $A$. There exists an interval $I$ such that $\lambda(E \cap I) / \lambda(I) < 1-\epsilon$
35713
Let $X\subset \mathbb{R}$ Lebesgue measurable, $|X|<|\mathbb{R}|$, is it true that $X$ is null?
115219
If $E$ is Lebesgue measurable, show that there exists a closed set $F$ with $F \subset E$ and $m(E\setminus F)<\epsilon$
96099
Every function on $\mathbb{R}^n$ that is continuous in each variable separately is Borel measurable.
69857
Is the set $A=\{x\in E|\lim_{n \to\infty} f_n(x)\ exists\ (finitely)\}$ measurable?
65334
Show that a certain set is measurable