| 完备稠序线性序拓扑空间上的奇周期轨序关系 |
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| 引用本文： | 卢天秀,朱培勇. 完备稠序线性序拓扑空间上的奇周期轨序关系[J]. 纯粹数学与应用数学, 2010, 26(6): 915-923. DOI: 10.3969/j.issn.1008-5513.2010.06.006 |
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| 作者姓名： | 卢天秀 朱培勇 |
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| 作者单位： | 电子科技大学数学科学学院,四川,成都,610054;四川理工学院理学院,四川,自贡,643000;电子科技大学数学科学学院,四川,成都,610054 |
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| 基金项目： | 国家自然科学基金，四川理工学院科研基金 |
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| 摘 要： | 研究完备稠序线性序拓扑空间上连续自映射的周期轨,指出当连续自映射有（2n＋1）-周期轨而没有（2n-1）-周期轨时,该（2n＋1）-周期轨上各点的序关系.利用这个关系将Sharkovskii定理从实直线推广到完备稠序线性序拓扑空间上。
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| 关 键 词： | 完备稠序线性序拓扑空间 连续自映射 周期轨 |
The order relation of odd periodic orbits on completely densely ordered linear ordered topological space |
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| LU Tian-xiu,ZHU Pei-yong. The order relation of odd periodic orbits on completely densely ordered linear ordered topological space[J]. Pure and Applied Mathematics, 2010, 26(6): 915-923. DOI: 10.3969/j.issn.1008-5513.2010.06.006 |
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| Authors: | LU Tian-xiu ZHU Pei-yong |
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| Affiliation: | LU Tian-xiu 1,2,ZHU Pei-yong 1(1.School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 610054,China,2.Institute of Science,Sichuan University of Science and Engineering,Zigong 643000,China) |
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| Abstract: | The periodic orbits of a continuous self-mapping on a completely densely ordered linear ordered topological space is discussed.It pointed out the order relation of the points on the periodic orbit if a continuous self-mapping have a periodic orbit of period（2n＋1） but haven’t periodic orbit of period（2n-1）.By using of this relation,Sharkovskii’s Theorem was extended from real line to completely densely ordered linear ordered topological space. |
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| Keywords: | completely densely ordered linear ordered topological space continuous self-mapping periodic orbits |
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