| 反三角映射的ω-极限集 |
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| 引用本文： | 罗智明,陈玉.反三角映射的ω-极限集[J].湘潭大学自然科学学报,2010,32(4). |
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| 作者姓名： | 罗智明 陈玉 |
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| 摘 要： | 如F(x1,x2,…xn)=(fn(xn),fn-1(xn-1),…,f1(x1)),(x1,x2,…,xn)∈In的映射,称为反三角映射.给出了反三角连续自映射F:In→In的拓扑结构,并指出反三角连续自映射与一维连续自映射之间ω-极限集的区别.
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| 关 键 词： | ω-极限集 周期矩形 无处稠密集 |
On ω- Limit Sets of Antitriangular Map |
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| LUO Zhi-ming,CHENG Yu.On ω- Limit Sets of Antitriangular Map[J].Natural Science Journal of Xiangtan University,2010,32(4). |
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| Authors: | LUO Zhi-ming CHENG Yu |
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| Abstract: | We give a topological characterization of ω- limit sets of continuous antitriangular map of the cube In,n>1,Where I =0,1].That is the map F:In→In with the from F(x1,x2,…xn)=(fn(xn),fn-1(xn-1),…,f1(x1)),(x1,x2,…,xn)∈In.We also point out some differences between ω- limit sets of antitriangular and one-dimensional maps. |
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| Keywords: | ω- limit set periodic rectangles nowhere dense set |
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