Complete measure space

▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Subset
▾ Power set
▾ Hyperpower set sequence
▾ Hyperpower set
▾ Hypersubset
▾ Subset algebra
▾ Subset structure
▾ Measurable space
▾ Measurable set
▾ Null measurable set
▾ Subnull set
▾ Complete measure

Complete measure space

Formulation 0

A D63: Finite sequence $M = (X, \mathcal{F}, \mu)$ is a complete measure space if and only if

(1)	$M = (X, \mathcal{F}, \mu)$ is a D1158: Measure space
(2)	$\mu$ is a D1704: Complete measure

We then say that $X$ forms a complete measure space.

Child definitions