Cardinality of the Ellis semigroup on compact metric countable spaces

S. Garcia-Ferreira, Y. Rodriguez-Lopez, C. Uzcategui

Let $E(X,f)$ be the Ellis semigroup of a dynamical system $(X,f)$ where $X$ is a compact metric space. We analyze the cardinality of $E(X,f)$ for a compact countable metric space $…