Questions relating to measures, measure spaces, Lebesgue integration and the like.
6
votes
1answer
100 views
+100
Working on a generalized Cantor set, with Lebesgue measure, and a certain inequality.
Let's consider the interval $[0,1]$ in the same way that we constructed the Cantor set, we can use the same idea, but instead of removing in the step $n$ middle open intervals of length ...
8
votes
0answers
130 views
+50
From universal measurability to measurability
Let $(\Omega,\Sigma)$ be a measurable space and $K$ be a compact
metrizable space endowed with its Borel $\sigma$-algebra
$\mathcal{B}(K)$. Let $A\subseteq\Omega\times K$ be universally
...