论文标题
在小组动作下与所有最小系统的脱节
Disjointness with all minimal systems under group actions
论文作者
论文摘要
令$ g $为一个可计数的离散组。 We give a necessary and sufficient condition for a transitive $G$-system to be disjoint with all minimal $G$-systems, which implies that if a transitive $G$-system is disjoint with all minimal $G$-systems, then it is $\infty$-transitive, i.e. $(X^k,G)$ is transitive for all $k\in\N$, and has dense minimal points.此外，我们表明，任何$ \ infty $ thansvilitive $ g $ g $ $ $ g $ $ g $ system与所有最小的$ g $ - 系统都不相交。
Let $G$ be a countable discrete group. We give a necessary and sufficient condition for a transitive $G$-system to be disjoint with all minimal $G$-systems, which implies that if a transitive $G$-system is disjoint with all minimal $G$-systems, then it is $\infty$-transitive, i.e. $(X^k,G)$ is transitive for all $k\in\N$, and has dense minimal points. In addition, we show that any $\infty$-transitive $G$-system with dense distal points are disjoint with all minimal $G$-systems.
