Let $M = (X, \mathcal{F})$ be a D1108: Measurable space such that
(i) | $E_0, E_1, E_2, \ldots \in \mathcal{F}$ are each a D1109: Measurable set in $M$ |
Then
(1) | \begin{equation} \limsup_{n \to \infty} E_n \in \mathcal{F} \end{equation} |
(2) | \begin{equation} \liminf_{n \to \infty} E_n \in \mathcal{F} \end{equation} |