On mixing properties in topological dynamics

Abstract EN

Mixing property was classified in the first book of topological dynamics written by Gottschalk & Hedland, [4].

(1955) as one of the regionally transitive properties.

It is concerned with the existence of a compact subset K of the phase group G of a topological transformation group (X, G, p) such that for every U, V non empty open subsets of X, there exists a compact subset K of G such that, for every g Î KC, ⇒Ug ÇV ¹f 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.