$\newcommand{\F}{\mathscr F}$$\newcommand{\a}{\alpha}$$\newcommand{\N}{\mathbb N}$$\newcommand{\w}{\omega}$$\newcommand{\E}{\mathcal E}$In this post I’m going to explore uncountable additivity of $\sigma$-finite measures a bit. Let $\mathcal M…
$\newcommand{\F}{\mathscr F}$$\newcommand{\a}{\alpha}$$\newcommand{\N}{\mathbb N}$$\newcommand{\w}{\omega}$$\newcommand{\E}{\mathcal E}$In this post I’m going to explore uncountable additivity of $\sigma$-finite measures a bit. Let $\mathcal M…