New posts in measure-theory

Definition of Conditional Probability by Measure Theory

The "it's not possible" statement in math and the Axiom of Choice

Are there sets of zero measure and full Hausdorff dimension?

Covering with sets of negligible boundary

Evaluate: $\lim_{n\to\infty} \int_a^{\infty}\frac{n^2xe^{-n^2x^2}}{1+x^2}\,dx.$

Co-countable measure on uncountable set

What is the motivation of Measure Theory when there is probability theory?

Not $\sigma$-compact set without axiom of choice

A Question on Epsilon-Delta Proofs in Measure Theory

Convergence of Lebesgue integrals

Sets with Hausdorff-Measure 0

If a set $E\subset [a,b]$ has possitive measure, then $x-y\in \mathbb{R\setminus Q}$

Is always true that: $ v(\cup_{n=1}^{\infty} A_n) \leq \sum\limits_{n=1}^{\infty} v(A_n)$?

Folland's Real Analysis 7.11

Converse of Jensen's inequality

If $\mu$ is a measure, is $t\mapsto\mu([0,t])$ right-continuous with left-limits?

On Lebesgue Outer Measure of an interval

Typicality of boundedness of entries of continued fraction representations

Lebesgue outer measure of $[0,1]\cap\mathbb{Q}$

Countable stability of Hausdorff dimension