| 强链回归集与强跟踪性 |
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| 引用本文： | 赵俊玲. 强链回归集与强跟踪性[J]. 数学研究, 2004, 37(3): 286-291 |
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| 作者姓名： | 赵俊玲 |
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| 作者单位： | 广西师范大学数学系,广西,桂林,541004 |
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| 基金项目： | 广西师范大学科研基金资助项目 |
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| 摘 要： | 为了研究强跟踪性，本文给出了强链回归集的定义．证明了：若度量空间上的一个连续自映射有强跟踪性，则其强链回归集与极限集相同．
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| 关 键 词： | 强链回归集 强跟踪性 极限集 |
| 修稿时间： | 2003-11-03 |
Strong Chain Recurrent Sets and Strong Shadowing Property |
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| Zhao Junling. Strong Chain Recurrent Sets and Strong Shadowing Property[J]. Journal of Mathematical Study, 2004, 37(3): 286-291 |
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| Authors: | Zhao Junling |
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| Abstract: | In this paper, the notion of the strong chain recurrent set is introduced to study the properties of the strong shadowing property. Let f be a self-mapping of a metric space, it is proved that if f has the strong shadowing property, then the strong chain recurrent set of f is equal to the limit set. |
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| Keywords: | strong chain recurrent set strong shadowing property limit set |
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