Does there exist a Lebesgue measurable subset $A$ of $R$ such that for every $a<b$ we have $m(A\cap(a,b))=(b-a)/2$?
27615
Prove Borel Measurable Set A with the following property has measure 0.
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
53663
outer measure and measurable sets
83825
$f^{-1}([-\infty,r))$ measurable for all rational numbers $r$
84263
A Lebesgue measure question
88418
Proof of a theorem saying that we can make a measurable function continuous by altering it by a set of arbitarily small measure
79974
The cardinality of Lebesgue sets
21068
Is composition of measurable functions measurable?
22356
Lebesgue measurable but not Borel measurable
7681
How can this theorem about weakly measurable functions on $\sigma$-finite measure spaces be deduced from the finite measure space case?
154621
A set with a finite integral of measure zero?
65334
Show that a certain set is measurable
98098
Show that $\mu_{F}$ is a measure on $(\mathbb{R},\mathcal{S})$.
19773
Is finite additivity a property of the Lebesegue outer measure?
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
32347
Limit of a decreasing sequence of measurable sets.
7733
If A is infinite, does there have to exist a subset of A that is equivalent to A?