ThmDex – An index of mathematical definitions, results, and conjectures.
F10378
Formulation 0
Let $M = (X, \mathcal{F}, \mu, T)$ be a D2827: Measure-preserving system such that
(i) $E_0, E_1, E_2, \ldots \in \mathcal{F}$ are each a D2841: Stationary measurable set in $M$
Then \begin{equation} T^{-1} \left( \bigcup_{n \in \mathbb{N}} E_n \right) = \bigcup_{n \in \mathbb{N}} E_n \end{equation}