The

**set of subnull sets**with respect to $M$ is the D11: Set \begin{equation} \{ E \subseteq X \mid \exists \, F \in \mathcal{F} : E \subseteq F \text{ and } \mu(F) = 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

▾ Null measurable set

▾ Subnull 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

▾ Null measurable set

▾ Subnull set

Formulation 0

Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space.

The**set of subnull sets** with respect to $M$ is the D11: Set
\begin{equation}
\{ E \subseteq X \mid \exists \, F \in \mathcal{F} : E \subseteq F \text{ and } \mu(F) = 0 \}
\end{equation}

The