### On exact topological flows

DOI: http://dx.doi.org/10.12775/TMNA.2003.024

#### Abstract

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 (led) flows have uniformly positive entropy (u.p.e.).

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 (led) flows have uniformly positive entropy (u.p.e.).

#### Keywords

Exact flows; led flows; uniformly positive entropy

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