Topological structure of non-wandering set of a graph map

被引：0
|
作者：
Gu, RB [1 ]
Sun, TX
Zheng, TT
机构：
[1] Nanjing Univ Finance & Econ, Sch Finance, Nanjing 210046, Peoples R China
[2] Guangxi Univ, Dept Math, Nanning 530004, Peoples R China
[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
[4] Anhui Univ, Dept Math, Hefei 230039, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 04期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
graph map; recurrent point; omega-limit point; non-wandering set; derived set;
D O I：
10.1007/s10114-004-0432-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a graph (i.e., a finite one-dimensional polyhedron) and f : G -> G be a continuous map. In this paper, we show that every isolated recurrent point of f is an isolated non-wandering point; every accumulation point of the set of non-wandering points of f with infinite orbit is a two-order accumulation point of the set of recurrent points of f ; the derived set of an omega-limit set of f is equal to the derived set of an the set of recurrent points of f; and the two-order derived set of non-wandering set of f is equal to the two-order derived set of the set of recurrent points of f.
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页码：873 / 880
页数：8
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