Monotone class theorem: Difference between revisions

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==Definition of a monotone class==

A '''monotone class''' is a set ''M'' of set-theoretic sets that is [[Closure (mathematics)|closed]] under countable monotone unions and intersections, i.e. if <math>A_i \in M</math> and <math>A_1 \subset A_2 \subset \cdots</math> then <math display="inline"> \bigcup_{i = 1}^\infty A_i \in M</math>, and similarly in the other direction.

==Monotone class theorem for sets==