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Zermelo-Fraenkel set theory
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Measurable set
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
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D6003: Null event
Child definitions
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D2801: Conull set
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D4764: Set of null sets
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D3802: Subnull set
Results
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R4503: Countable union of sets of measure zero is of measure zero