Definition:Delta-Ring

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Definition

A delta-ring (which can conveniently be written $\delta$-ring) is a ring of sets which is closed under countable intersections.

That is, a ring of sets $\mathcal R$ is a delta-ring iff:

$\displaystyle A_1, A_2, \ldots \in \mathcal R \implies \bigcap_{n=1}^\infty A_n \in \mathcal R$