| G-极限点集和G-链等价集的研究 |
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| 引用本文： | 冀占江,时伟.G-极限点集和G-链等价集的研究[J].数学的实践与认识,2020(10):252-256. |
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| 作者姓名： | 冀占江 时伟 |
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| 作者单位： | 梧州学院大数据与软件工程学院;梧州学院广西高校图像处理与智能信息系统重点实验室;梧州学院广西高校行业软件技术重点实验室;梧州职业学院 |
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| 基金项目： | 广西自然科学基金(2018JJB170034);广西高校中青年教师科研基础能力提升项目(2019KY0681);梧州学院校级科研项目(2017C001)。 |
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| 摘 要： | 根据度量空间中极限点和链等价点的定义,给出度量G-空间中G-极限点和G-链等价点的概念,并在度量G-空间中研究了它们的动力学性质,得到了G-极限点和G-链等价点的一些结果,这些结果丰富了度量G-空间中G-极限点和G-链等价点的理论.
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| 关 键 词： | 度量G-空间 伪等价映射 G-链等价集 G-极限点集 |
The Research of G-Limit Point Set and G-Chain Equivalence Set |
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| JI Zhan-jiang,SHI Wei.The Research of G-Limit Point Set and G-Chain Equivalence Set[J].Mathematics in Practice and Theory,2020(10):252-256. |
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| Authors: | JI Zhan-jiang SHI Wei |
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| Institution: | (School of Data Science and Software Engineering,Wuzhou University,Wuzhou 543002,China;Guangxi Colleges and Universities Key Laboratory of Image Processing and Intelligent Information System,Wuzhou University,Wuzhou 543002,China;Guangxi Colleges and Universities Key Laboratory of Professional Software Technology,Wuzhou University,Wuzhou 543002,China;Wuzhou Vocational College,Wuzhou 543002,China) |
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| Abstract: | According to the definition of limit point and chain equivalence point in the metric space,we give the concept of G-limit point and G-chain equivalence point and study their dynamical property in the metric G-space.We get some results about G-limit point and G-chain equivalence point.These results enrich the theory of G-limit point and G-chain equivalence point in the metric G-space. |
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| Keywords: | metric G-space pseudoequivariant map G-chain equivalence set G-limit point set |
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