From Maths
Jump to: navigation, search
Sigma algebra
[math]\forall A\in\mathcal{A}[A^C\in\mathcal{A}][/math]
[math]\forall\{A_n\}_{n=1}^\infty\subseteq\mathcal{A}\left[\bigcup_{n=1}^\infty A_n\in\mathcal{A}\right][/math]
For a [ilmath]\sigma[/ilmath]-algebra [ilmath](X,\mathcal{A}\subseteq\mathcal{P}(X))[/ilmath]
(Unknown grade)
This page is a stub
This page is a stub, so it contains little or minimal information and is on a to-do list for being expanded.The message provided is:
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 [ilmath]X[/ilmath] and [ilmath]\emptyset[/ilmath]