Prove that if E is a measurable set, then the set whose elements are the squares of elements in E is also measurable
98200
$E$ Lebesgue measurable implies $E^2$ Lebesgue measurable?
100919
Examples of non-measurable sets in $\mathbb{R}$
69857
Is the set $A=\{x\in E|\lim_{n \to\infty} f_n(x)\ exists\ (finitely)\}$ measurable?
22356
Lebesgue measurable but not Borel measurable
88418
Proof of a theorem saying that we can make a measurable function continuous by altering it by a set of arbitarily small measure
135548
Every section of a measurable set is measurable? (in the product sigma-algebra)
146707
Formally show that the set of continuous functions is not measurable
93684
Show that $\mu (E \setminus A)>0$ if $A$ is a nonmeasurable subset of $X$ and $A \subseteq E$, $E$ is measurable.
23765
Prove that lebesgue integrable equal lebesgue measure
53425
Prove that there exists a Borel measurable function $h: \mathbb R \to \mathbb R$ such that $g= h\circ f$.
147546
$f: \mathbf{R} \rightarrow \mathbf{R}$ monotone increasing $\Rightarrow$ $f$ is measurable
151295
Proving $|S \times \mathbb{N}|=|S|$ when $S$ is an infinite set
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.
26369
Proving seemingly obvious equations with measure theory
123613
Double Complement of a set proof
69499
Let $A\subset\mathbb{R}$ a measurable and bounded set. Show that exists for each $0\alpha$.
98580
Lebesgue-measurable sets requiring the Axiom of Choice to construct