ThmDex – An index of mathematical definitions, results, and conjectures.

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Definition D1108

Measurable space

Formulation 0

$M = (X, \mathcal{F})$ is a measurable space if and only if

(1)	$X$ is a D11: Set
(2)	$\mathcal{F}$ is a D84: Sigma-algebra on $X$

Also known as

Measurable subset structure

Children

▶	D201: Measurable map
▶	D1109: Measurable set
▶	D3865: Measurable space isomorphism
▶	D1158: Measure space