机构地区: 广西大学
出 处: 《数学年刊(A辑)》 2005年第1期131-138,共8页
摘 要: 本文讨论了树映射f的链等价集的性质,得到了f具有零拓扑熵的几个等价条件,并证明了:如果 f的一个链等价集是个无限集,那么这个链等价集的任何孤立点都是f的非周期的终于周期点. This paper discusses the character of the set of chain equivalent points of a tree map f, and obtains several equivalent conditions of f with zero topological entropy and prove that if a set of chain equivalent points of f is infinite, then its any isolated point is an eventually periodic point but not periodic point of f.