| 图映射的非游荡集 |
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| 引用本文： | 顾荣宝,孙太祥,郑婷婷.图映射的非游荡集[J].高校应用数学学报(英文版),2003,18(4):477-481. |
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| 作者姓名： | 顾荣宝 孙太祥 郑婷婷 |
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| 作者单位： | Gu Rongbao 1，2 Sun Taixiang3 Zheng Tingting21 Dept. of Appl. Math.，Nanjing Univ. of Finance and Economics，Nanjing 210003，China. 2 Dept. of Math.，Anhui Univ.，Hefei 230039，China. 3 Dept. of Math.，Guangxi Univ.，Nanning 530004，China. |
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| 基金项目： | The first author is supported by the Natural Science Foundation of the Committee of Education ofJiangsu Province ( 0 2 KJB1 1 0 0 0 8) |
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| 摘 要： | § 1 IntroductionLet N be the set of all natural numbers.Write Z+=N∪ { 0 } ,Nn={ 1 ,2 ,...,n} andZn={ 0 }∪Nnfor any n∈N.Let X be a topological space and f:X→X be a continuous map.Forx∈X,O(x,f) ={ fk(x) :k∈ Z+} is called the orbit of x.The set of periodic points,the set of recurrentpoints,the set ofω-limit points for some x∈X and the set of non-wandering points of fare denoted by P(f) ,R(f) ,ω(x,f) andΩ(f) ,respectively(for the definitions see1 ] ) .Let A X,we use int(A) ,A…
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| 关 键 词： | graph map recurrent point eventually recurrent point ω-limit set non-wandering set |
| 收稿时间： | 10 March 2003 |
Non-wandering set of a continuous graph map |
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| Gu?Rongbao,Sun?Taixiang,Zheng?Tingting.Non-wandering set of a continuous graph map[J].Applied Mathematics A Journal of Chinese Universities,2003,18(4):477-481. |
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| Authors: | Gu Rongbao Sun Taixiang Zheng Tingting |
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| Institution: | (1) Dept. of Appl. Math., Nanjing Univ. of Finance and Economics, 210003 Nanjing, China;(2) Dept. of Math., Anhui Univ., 230039 Hefei, China;(3) Dept. of Math., Guangxi Univ., 530004 Nanning, China |
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| Abstract: | The non-wandering set Ω(f) for a graph map f is investigated. It is showed that Ω(f) is contained in the closure of the set ER(f) of eventually recurrent points of f and ω-limit set ω(Ω(f)) of Ω(f) is contained in the closure of the set R(f) of recurrent points of f.
The first author is supported by the Natural Science Foundation of the Committee of Education of Jiangsu Province (02KJB110008). |
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| Keywords: | 58F10 54H20 |
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