|
摘要: |
文献[1]证明了序列系统在强一致收敛下极限系统的许多动力性质(如:拓扑传递、拓扑混合等)可以被遗传,但是在一致收敛下不能被遗传。在此基础上对序列函数的极小性、传递性来讨论其极限函数轨道的稠密性问题进行了研究。 |
关键词: 强一致收敛 单边传递性 拓扑传递性 极小性 |
DOI: |
分类号: |
基金项目: |
|
Denseness of Limit Function Orbit of Sequence Function under Strong Uniform Convergence |
DENG Xiao-xia,JIN Yu-guang
|
Abstract: |
The reference[1]proved that many dynamic properties of limit system of sequence system such as topological transmission,topological mixing and so on under strong uniform convergence could be inherited but could not be inherited under uniform convergence,based on this,the research on the denseness issue of limit function orbit discussed by minimum value and inheritance of sequence function is conducted. |
Key words: strong uniform convergence unilateral transitivity topological transitivity minimality |