Minimality, distality and equicontinuity for semigroup actions on compact Hausdorff spaces

Joseph Auslander, Xiongping Dai

Let $\pi :T\times X\to X$ with phase map $(t,x)\mapsto tx$, denoted $(\pi ,T,X)$, be a \textit{semiflow} on a compact Hausdorff space $X$ with phase semigroup $T$. If each…