On Mixing Properties in Topological Dynamics

Abstract

   Mixing property was classified in the first book of topological dynamics written by Gottschalk & Hedlund ,[4], ( 1955 ) as one of the regionally transitive properties . It is concerned with the existence of a compact subset  of the phase group   of a topological transformation group  such that for every  non empty open subsets of ,there exists a compact subset  of    such that, for every         In this work we introduced new different types of mixing ,and  studied there relations with other transitive properties. Moreover  we studied some relations between them and recursion dynamical properties such as periodicity , almost periodicity and recurrence. we gave conditions to transfer some types of mixing under suitable homomorphism. Â

Keywords

• group
• dynamical