Dynamical consequences of a free interval: minimality, transitivity, mixing and topological entropy
Dynamical consequences of a free interval: minimality, transitivity, mixing and topological entropy
We study dynamics of continuous maps on compact metrizable spaces containing a free interval (i.e., an open subset homeomorphic to an open interval). A special attention is paid to relationships between topological transitivity, weak and strong topological mixing, dense periodicity and topological entropy as well as to the topological structure …