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
Boolean algebra
Sigma-algebra
Definition D195
Discrete sigma-algebra
Formulation 0
Let $X$ be a D11: Set.
Let $\mathcal{P}(X)$ be the D80: Power set of $X$.
A D11: Set $\mathcal{F} \subseteq \mathcal{P}(X)$ is the discrete sigma-algebra on $X$ if and only if \begin{equation} \mathcal{F} = \mathcal{P}(X) \end{equation}
Children
Discrete measurable space