Sigma-algebra/Infobox

Sigma algebra

$$\forall A\in\mathcal{A}[A^C\in\mathcal{A}]$$ $$\forall\{A_n\}_{n=1}^\infty\subseteq\mathcal{A}\left[\bigcup_{n=1}^\infty A_n\in\mathcal{A}\right]$$ For a $\sigma$-algebra $(X,\mathcal{A}\subseteq\mathcal{P}(X))$

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Requires fleshing out, sigma-algebras have products and subspace constructions too! Add trace sigma-algebra, pre-image sigma-algebra, some of the properties like being closed under set-subtraction, containing both $X$ and $\emptyset$