List questions from measurable-sets | MathQa

Measurability criterion of Caratheodory

Published on 13 Jan 2025 - 3:10

Functions which map Lebesgue measurable sets into Lebesgue measurable sets

Published on 13 Jan 2025 - 5:18

Definitions of Measurability: Outer-inner measure convergence vs. Caratheodory criterion

Published on 13 Jan 2025 - 5:21

Why does measurable function need to be defined on a measurable domain?

Published on 13 Jan 2025 - 5:17

if $f \geq 0$ Lebesgue measurable the set $A := \{(x,y)\in \mathbb{R}^2 \mid 0 < y < f(x)\}$ is measurable - proof verification

Published on 13 Jan 2025 - 5:24

The positive variation satisfies $\lambda^{+}=\sup\{\lambda (F) : F\subset E, F\in\chi \}$

Published on 13 Jan 2025 - 5:17

Function defined on a zero measured set

Published on 13 Jan 2025 - 3:10

Example for a non-Borel set $A$ in $\mathbb{R}^2$ such that all $x$- and $y$- sections are measurable

Published on 13 Jan 2025 - 5:22

Regular set for a nearly Borel set is Borel (Brownian motion)?

Published on 13 Jan 2025 - 5:12

Showing "directly" that a fat Cantor set contains a non-measurable subset

Published on 13 Jan 2025 - 5:17