EMBEDDING OF EXPANSIVE DYNAMICAL SYSTEMS INTO SYMBOLIC DYNAMICAL TSYSTEMS

Let (X, d) be a compact and totally disconnected metric space, and T Aan expan-sive continuous mapping on X with values in X. Then, it is Ashown that the expan-sive dynamical system (X, d, T) can be embedded Ainto a certain symbolic dynamicalsystem. Moreover, compactification of Athe family consisting of all nonexpansivemappings on a compact metric Aspace is given.