Conditions for a Dynkin system to be a sigma-algebra

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Statement

A Dynkin system D is a \sigma-algebra if and only if[1] it is \cap-closed[Note 1]

Proof


TODO: Easy enough, see p33 of [1] if stuck


Notes

  1. Jump up Recall this means "closed under finite intersections"

References

  1. Jump up to: 1.0 1.1 Measures, Integrals and Martingales