Point transitivity, -transitivity and multi-minimality
Point transitivity, -transitivity and multi-minimality
Let $(X,f)$ be a topological dynamical system and ${\mathcal{F}}$ be a Furstenberg family (a collection of subsets of $\mathbb{N}$ with hereditary upward property). A point $x\in X$ is called an ${\mathcal{F}}$ -transitive point if for every non-empty open subset $U$ of $X$ the entering time set of $x$ into $U$ …