Category:Definitions/Measure Spaces

This category contains definitions related to Measure Spaces.
Related results can be found in Category:Measure Spaces.

A measure space is a triple $\struct {X, \Sigma, \mu}$ where:

$X$ is a set

$\Sigma$ is a $\sigma$-algebra on $X$

$\mu$ is a measure on $\Sigma$.

Thus it is a measurable space $\struct {X, \Sigma}$ with a measure.