Definition:Sigma-Finite Measure/Definition 4

Definition

Let $\mu$ be a measure on a measurable space $\struct {X, \Sigma}$.

We say that $\mu$ is a $\sigma$-finite (or sigma-finite) measure if and only if it is the countable union of sets of finite measure.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): sigma-finite (or $\sigma$-finite)