Cantor subsystems on the Gehman dendrite
Abstract
In the present note we focus on dynamics on the Gehman dendrite G. It is well-known that the set of its endpoints is homeomorphic to a standard Cantor ternary set. For any given surjective Cantor system C we provide constructions of (i) a mixing but not exact and (ii) an exact map on G, such that in both cases the subsystem formed by End(G) is conjugate to the initially chosen system on C.
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