Sigma-Finite Measure

Last updated Nov 1, 2022

Let $(X, \mathcal{M}, \mu)$ be a Measure Space. We call $\mu$ a Sigma-Finite Measure if there exists a Countable Partition of $X$, ${P_{n}}{n \in \mathbb{N}}$, so that $\mu(P{n}) < \infty$ for all $n \in \mathbb{N}$.

1. TODO add the equivalent conditions from Wikipedia