Title of article :
Conceptions of topological transitivity
Author/Authors :
Akin، نويسنده , , Ethan and Carlson، نويسنده , , Jeffrey D.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2012
Abstract :
There are several different common definitions of a property in topological dynamics called “topological transitivity,” and it is part of the folklore of dynamical systems that under reasonable hypotheses, they are equivalent. Various equivalences are proved in different places, but the full story is difficult to find. This note provides a complete description of the relationships among the different properties.
Keywords :
Transitive points , minimal sets , Isolated points , Topological transitivity
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications