Tychonoff拓扑动力系统和相应Stone-ech扩充动力系统之间的关系  

The relationships between the Tychnonoff topology dynamics and the Stone-ech extensions

作　　者：刘方略[1] 王延庚[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《西北大学学报（自然科学版）》2013年第2期189-192,共4页Journal of Northwest University（Natural Science Edition）

基　　金：陕西省自然科学基金资助项目(2012JM1016)

摘　　要：目的研究Tychonoff拓扑动力系统和相应Stone-ech扩充动力系统之间的关系,尝试将紧致动力系统中的结论推广至Tychonoff拓扑动力系统中。方法利用Stone-ech紧化研究Ty-chonoff拓扑动力系统。结果得到了Tychonoff拓扑动力系统和相应Stone-ech扩充动力系统在几乎周期点、极小集、拓扑传递等方面的关系。结论利用这些结果将紧致动力系统中的部分定理推广至Tychonoff拓扑动力系统。Aim To study the relationships between Tychonoff dynamics and the Stone-Cech extensions, and try to generate the results of compact dynamics to Tychonoff dynamics. Methods The Tychonoff dynamics is studied by the Stone-Cech compactification. Results The relationships between Tychonoff dynamics and the Stone-Cech extensions with respect to almost periodic points, limit sets, topological transitivity are obtained. Conclusion Part of theorem in the compact dynamics is extended to Stone-Cech dynamics by making wse of the mentioned results.

关 键 词：Stone-Cech扩充 几乎周期点 拓扑传递 

分 类 号：O189.1[理学—数学]