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
Set of sigma-algebras
Formulation 0
Let $X$ be a D11: Set.
The set of sigma-algebras on $X$ is the D11: Set \begin{equation} \{ \mathcal{F} \subseteq \mathcal{P}(X) \mid \mathcal{F} \text{ is a sigma-algebra on } X \} \end{equation}
Child definitions
» D318: Generated sigma-algebra