ThmDex – An index of mathematical definitions, results, and conjectures.
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Definition D1676
Null measurable set
Formulation 0
Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space.
A D1109: Measurable set $E \in \mathcal{F}$ is a null measurable set in $M$ if and only if \begin{equation} \mu(E) = 0 \end{equation}
Also known as
Set of measure zero, Negligible set
Subdefinitions
▶ D6003: Null event
Children
▶ D2801: Conull set
▶ D4764: Set of null sets
▶ D3802: Subnull set
Results
▶ R4503: Countable union of sets of measure zero is of measure zero