令X为紧致度量空间,f:X→X为连续映射,讨论正上密度回归点与支撑点的关系,并证明当正上密度回归点集稠密时,可迁系统等价于E系统.
Let X be a compact metric space and f: X→X a continuous onto maps. This paper discusses the relationships of the positive upper Banach density recurrence point and the support point,and proves that a topologically transitivity system is equivalent to a E- system when the set of positive upper Banach density recurrence points is dense.