topological transitivity meaning in Chinese

拓扑传递性

we find a simple relation between the maximal ergodic subgroup and distal properties of algebraic actions and characterize the distal properties of zd algebraic actions . we also prove that if the group action is equicontinuous then ergodicity and topological transitivity are equivalent
讨论了离散群在紧群上代数作用的极大遍历子群与distal性质的关系；给出了z~d代数作用的distal性质的刻画；证明了离散群等度连续作用下，遍历与拓扑可迁等价。