ThmDex – An index of mathematical definitions, results, and conjectures.
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
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}
Subdefinitions
Null event
Children
Conull set
Set of null sets
Subnull set
Results
Countable union of sets of measure zero is of measure zero