THE LIMIT SET OF A CONTINUOUS SELF-MAP OF THE TREE

• 作者: 张可村 罗智明
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: nonwandering POINT RECURRENT POINT one-side ISOLATED
• 年，卷（期）: 2003,（1）
• 页码范围: 60-64
• 页数: 5页
• 分类号: O177.3

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.