**measure-preserving system**if and only if $T$ is a D2940: Measure-preserving endomorphism on $M$.

Definition D2827

Measure-preserving system

Formulation 0

A D3115: Measure space endosystem $S = (X, \mathcal{F}, \mu, T)$ is a **measure-preserving system** if and only if $T$ is a D2940: Measure-preserving endomorphism on $M$.

Children

▶ | D5569: Almost stationary measurable map |

▶ | D2839: Probability-preserving system |

▶ | D2841: Stationary measurable set |