| 弱遍历自同胚映射拓扑共轭的等价条件 |
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| 引用本文： | 张莹.弱遍历自同胚映射拓扑共轭的等价条件[J].天津师范大学学报(自然科学版),2008,28(2):57-59. |
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| 作者姓名： | 张莹 |
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| 作者单位： | 华北电力大学,数理系,河北,保定,071003 |
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| 基金项目： | 华北电力大学校科研和教改项目 |
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| 摘 要： | 通过构造交换群上的同态映射，证明了紧致度量空间上带有拓扑离散谱的弱遍历自同胚映射拓扑共轭的等价条件是它们具有相同的特征值．
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| 关 键 词： | 弱遍历 拓扑离散谱 拓扑共轭 特征值 |
| 文章编号： | 1671-1114(2008)02-0057-02 |
| 修稿时间： | 2007年5月19日 |
The equivalent condition of topological conjugation for weakly ergodic self-homeomorphous mappings |
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| ZHANG Ying.The equivalent condition of topological conjugation for weakly ergodic self-homeomorphous mappings[J].Journal of Tianjin Normal University(Natural Science Edition),2008,28(2):57-59. |
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| Authors: | ZHANG Ying |
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| Institution: | ZHANG Ying (School of Mathematics and Physics, North China Electric Power Univesity, Baoding, Hebei 071003, China) |
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| Abstract: | By constructing a homomorphic mapping on Abelian group, it is proved that two weakly ergodic self-homeomorphous mappings with topological discrete spectrum are topologically conjugate if and only if they have the same eigenvalues. |
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| Keywords: | weakly ergodic topological discrete spectrum topological conjugation eigenvalue |
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