List questions from outer-measure | MathQA

$m^\star(A\cup B)<m^\star(A)+m^\star(B)$

Published on 11 Nov 2022 - 9:20

Outer measure of dirac measure

Published on 15 Nov 2022 - 22:08

Can Carathéodory's Extension Lemma be proven without use of the Carathéodory's Restriction Lemma?

Published on 21 Nov 2022 - 22:15

On the abscence of the Inner Measure in introductory texts on Measure Theory

Published on 27 Nov 2022 - 4:18

Lebesgue outer measure using open balls- help with proof

Published on 27 Nov 2022 - 18:13

Justifying an inequality in a proof of Carathéodory's Theorem

Published on 08 Dec 2022 - 1:33

How does one prove outer measure is finite for $A \in \mathfrak{M}_F(\mu)$ if there exist elementary sets $A_n \to A$?

Published on 11 Dec 2022 - 5:43

Are positively separated sets separated?

Published on 14 Dec 2022 - 14:32

Intersection with Vitali set is not measurable

Published on 23 Dec 2022 - 14:47

Is the limit superior of Radon measures at least a Radon outer measure?

Published on 26 Dec 2022 - 13:58

Hausdorff Outer Measure on $\mathbf{R}^n$ is a Measure when Restricted to the Lebesgue $\sigma$-Algebra

Published on 27 Mar 2026 - 4:38

If $X$ is dicrete and $m$ satisfies probability axioms except $m(\bigcup_{n\in J}A_n)=\sum_{n\in J}m(A_n)$ for finite $J$, does countable sum hold?

Published on 11 Jan 2023 - 10:54