A simple proof of a theorem of sensitivity II

Abstract: Let $\mathcal{S}$ be a topological semigroup and consider the dynamical system $(\mathcal{S},X,\Phi)$, where $X$ is locally compact metric space with a countable base. When $(\mathcal{S},X,\Phi)$ is transitive, dense of minimal set and non minimal the dynamical system is sensitive.