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正上密度回归点集的若干性质
Some properties of positive upper density recurrence points

DOI: 10.7631/issn.1000-2243.2016.03.0401

Keywords: E系统 支撑点 正上Banach密度回归点
E-system support point positive upper Banach density recurrence points

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Abstract:

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

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