Conditions for a Dynkin system to be a sigma-algebra
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Contents
Statement
A Dynkin system [ilmath]\mathcal{D} [/ilmath] is a [ilmath]\sigma[/ilmath]-algebra if and only if[1] it is [ilmath]\cap[/ilmath]-closed[Note 1]
Proof
TODO: Easy enough, see p33 of [1] if stuck
Notes
- ↑ Recall this means "closed under finite intersections"
References
