The period set of a map from the Cantor set to itself
The period set of a map from the Cantor set to itself
In this paper we consider all possible period sets $P(f)$ for self-maps ofthe Cantor set, $f:C\to C$. We prove that the possible period sets arecompletely unrestricted provided that, in addition, one allows pointsthat are not periodic.However, if every point is periodic, we show that a surprising finitenesscondition is imposed on …