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}

▾ 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

▾ 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

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}

A D1109: Measurable set $E \in \mathcal{F}$ is a

Also known as

Set of measure zero, Negligible set

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