Subadditivity of outer measure on real numbers
4111
Outer measure is countably subadditive
65595
Let $\lambda(A)$ be the Lebesgue measure of $A$. There exists an interval $I$ such that $\lambda(E \cap I) / \lambda(I) < 1-\epsilon$
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.
124335
An identity for Fourier transform of measure
128911
Continuous extension of a real function
107160
Open Set and Measure Theory
113790
$\overline{B_1(0)}$ is not weakly* sequentially compact in $(l^\infty)$'
55826
Convergence of sequence of real numbers and (sub)subsequence
4381
Proof that the set of irrational numbers is dense in reals
51260
Sum of sets of measure zero
47187
Proving the measure of an increasing sequence of measurable sets is the limit of the measures
18429
Counting measure proof
134104
Is there a Cantor-Schroder-Bernstein statement about surjective maps?
142550
Haar Measure on Semidirect Product of Unimodular Groups
155621
Finiteness of the dimension of a normed space and compactness
62034
If every open set of a metric space $(X, \rho)$ is $\mu^*$-measurable, then $\mu^*$ is a metric outer measure.
69534
Measure of the Cantor set plus the Cantor set