On exact topological flows. (English) Zbl 1030.37007

Siemaszko, Artur; Szymański, Jerzy

Topol. Methods Nonlinear Anal. 21, No. 2, 387-392 (2003).

Summary: It is shown that group endomorphisms are exact flows if and only if they are exact in the measure-theoretic sense and that all flows which are exact with respect to an invariant measure with full support are exact. It is also proved that all locally eventually dense flows have uniformly positive entropy.

MSC:

37B05	Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.)
37B40	Topological entropy
37A35	Entropy and other invariants, isomorphism, classification in ergodic theory

Keywords:

exact flows; invariant measure; locally eventually dense flows; uniformly positive entropy