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THE LIMIT SET OF A CONTINUOUS SELF-MAP OF THE TREE
引用本文:罗智明,张可村. THE LIMIT SET OF A CONTINUOUS SELF-MAP OF THE TREE[J]. Annals of Differential Equations, 2003, 0(1)
作者姓名:罗智明  张可村
作者单位:Science College,Xi'an Jiaotong University,Xi'an 710049 Dept. of Information,Hunan Business College,Changsha 410205,Science College,Xi'an Jiaotong University,Xi'an 710049
摘    要:Let f denote a continuous map of a tree T to itself. A point x ∈ T is called a 7-limit point of f if it is both an ω-limit point and an α-limit point. In the present paper, we show that (1) Ω-Γ is countable, (2) A -Γ and P - Γ are either empty or countably infinite, where P denotes the closure of the set of periodic points P.


THE LIMIT SET OF A CONTINUOUS SELF-MAP OF THE TREE
Luo Zhiming Zhang Kecun. THE LIMIT SET OF A CONTINUOUS SELF-MAP OF THE TREE[J]. 微分方程年刊(英文版), 2003, 0(1)
Authors:Luo Zhiming Zhang Kecun
Abstract:
Keywords:nonwandering point   recurrent point   one-side isolated
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