Lifting Dynamical Properties to Hyperspaces

Dania Masood, Pooja Singh


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.



transitivity; total transitivity; weakly mixing; mixing; topological exactness; topological conjugacy; Vietoris topology; hyperspace suspension.

Subject classification

54H20; 37B99.

Full Text:



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