Lifting Dynamical Properties to Hyperspaces

Abstract

For a dynamical system (X, f ), the passage of various dynamical properties such as transitivity, total transitivity, weakly mixing, mixing, topological exactness, topological conjugacy, to the hyperspace C(X) of X consisting of nonempty closed connected subsets of X, and also to the hyperspace suspension HS(X) of X, have been considered and studied.2010 MSC: 54H20; 37B99.