Every set in the Dynkin system generated by is also in the sigma-algebra generated by
From Maths
Revision as of 12:39, 17 December 2016 by Alec (Talk | contribs) (Alec moved page A collection of subsets is a sigma-algebra iff it is a Dynkin system and closed under finite intersections/Proof to Every set in the Dynkin system generated by is also in the sigma-algebra generated by a system of sets without l...)
Suppose that [ilmath]\mathcal{A} [/ilmath] is a [ilmath]\sigma[/ilmath]-algebra [ilmath]\implies\mathcal{A} [/ilmath] is is both a Dynkin system and a [ilmath]p[/ilmath]-system
- Proof that it is a [ilmath]d[/ilmath]-system:
- TODO
- Proof that it is a [ilmath]p[/ilmath]-system:
- TODO
