Definition:Measurable Space

Definition

Let $\Sigma$ be a $\sigma$-algebra on a set $X$.

Then the pair $\struct {X, \Sigma}$ is called a measurable space.

Also see

• Definition:Measure Space

Sources

• 2005: René L. Schilling: Measures, Integrals and Martingales ... (previous) ... (next): $4.2$
• 2013: Donald L. Cohn: Measure Theory (2nd ed.) ... (previous) ... (next): $1.2$: Measures