| 正上密度回归点集的若干性质 |
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| 引用本文： | 曹 毅,吴晓荣.正上密度回归点集的若干性质[J].福州大学学报(自然科学版),2016,44(3):401-404. |
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| 作者姓名： | 曹 毅 吴晓荣 |
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| 作者单位： | 江苏理工学院 数理学院 江苏常州 213001,南京外国语学校 江苏南京 210008 |
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| 基金项目： | 国家自然科学基金(11102076)和江苏理工学院青年科研基金(KYY12023)。 |
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| 摘 要： | 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.
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| 关 键 词： | E系统 支撑点 正上Banach密度回归点 |
Some properties of positive upper density recurrence points |
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| CAO Yi and WU Xiaorong.Some properties of positive upper density recurrence points[J].Journal of Fuzhou University(Natural Science Edition),2016,44(3):401-404. |
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| Authors: | CAO Yi and WU Xiaorong |
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| Institution: | School of Mathematics and Physics, Jiangsu University of Technology, ChangZhou ,213001,China and Nanjing Foreign Language School,Nanjing,210008,China |
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| Abstract: | Let (X,f)be a compact metric space and f 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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