树映射的ω-极限集 |
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引用本文: | 曾凡平,高旗举,等.树映射的ω-极限集[J].东北数学,2001,17(3):333-339. |
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作者姓名: | 曾凡平 高旗举 |
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作者单位: | [1]InstituteofMathematics,GuangxiUniversity,Nanning530004 [2]DepartmentofMathematics,HunanNormalUniversity, |
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摘 要: | Let T be a tree and f be a continuous map form T into itself.We show mainly in this paper that a point x of T is an ω-limit point of f if and only if every open neighborhood of x in T contains at least nx 1 points of some trajectory,where nx equals the number of connected components of T/{x}.Then,for any open subset Gω(f) in T,there exists a positive integer m=m(G) such that at most m points of any trajectory lie outside G.This result is a generalization of the related result for maps of the interval.
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关 键 词: | 树映射 CO-极限集 周期点 树映射的ω-极限集 |
ω-Limit Set of a Tree Map |
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