Algebra of sets/Infobox
From Maths
| Algebra of sets | |
| [ilmath]\mathcal{A}\subseteq\mathcal{P}(X)[/ilmath] For an algebra of sets, [ilmath]\mathcal{A} [/ilmath] on [ilmath]X[/ilmath] | |
| Defining properties: | |
|---|---|
| 1) | [ilmath]\forall A\in\mathcal{A}[A^C\in\mathcal{A}][/ilmath] |
| 2) | [ilmath]\forall A,B\in\mathcal{A}[A\cup B\in\mathcal{A} ][/ilmath] |