| 关于拓扑链遍历映射 |
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| 引用本文： | 孟鑫,国佳. 关于拓扑链遍历映射[J]. 黑龙江大学自然科学学报, 2012, 29(2): 186-188,195 |
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| 作者姓名： | 孟鑫 国佳 |
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| 作者单位： | 1. 吉林师范大学数学学院,四平,136000
2. 吉林师范大学图书馆,四平,136000 |
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| 基金项目： | 国家自然科学基金资助项目，吉林省教育厅“十二五”科学技术研究项目，四平市科技发展计划项目 |
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| 摘 要： | 证明了拓扑链遍历映射的拓扑共轭不变性;研究了fk与f1×f2×…×fn的拓扑链遍历性,并给出了f的拓扑链遍历性与fk的拓扑链遍历性等价的条件,以及fi,i=1,2,…,n的拓扑链遍历性与f1×f2×…×fn的拓扑链遍历性等价的条件;给出了系统(X,f)拓扑链遍历与其提升系统(X珘,珓f)的拓扑链遍历的相互蕴涵性。
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| 关 键 词： | 拓扑链遍历 提升映射 拓扑共轭 |
Research on maps of topological chain ergodicity |
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| MENG Xin , GUO Jia. Research on maps of topological chain ergodicity[J]. Journal of Natural Science of Heilongjiang University, 2012, 29(2): 186-188,195 |
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| Authors: | MENG Xin GUO Jia |
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| Affiliation: | 1.Department of Mathematics,Jilin Normal University,Siping 136000,China;2.Library of Jilin Normal University,Siping 136000,China) |
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| Abstract: | It is shown that maps of topological chain ergodicity is invariable under property of topological conjugate.Topological chain ergodicities of f k and f1×f2×…×fn are studied,and an equivalent condition of topological chain ergodicitys of fk and f for any integer k and an equivalent condition of topological chain ergodicities of fi,i=1,2,…,and f1×f2×…×fn are given.In addition,it is shown that if(X,f) is topological chain ergodicity,then its lift map(X～,d～) is topological chain ergodicity. |
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| Keywords: | topological chain ergodicity lift maps topological conjugate |
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