摘要
In this note, we introduce a new level on recurrent motion in discrete semi-dynamical systems, i.e. uniformly almost periodic (U.A.P.) points. For a U.A.P. point, we will prove that when the map is restricted on its co-limit set, it is a homeomorphism, strictly ergodic and with zero-topological entropy. Moreover, we will give the co-limit set a description of a compact topological group structure.
In this note, we introduce a new level on recurrent motion in discrete semi-dynamical systems, i.e. uniformly almost periodic (U.A.P.) points. For a U.A.P. point, we will prove that when the map is restricted on its co-limit set, it is a homeomorphism, strictly ergodic and with zero-topological entropy. Moreover, we will give the co-limit set a description of a compact topological group structure.
基金
Project supported by the Foundation of Zhongshan University Advanced Research Centre.
