The structure of graph maps without periodic points
The structure of graph maps without periodic points
复制标题
DOI：
10.1016/j.topol.2007.05.005
复制
发表时间：
2007-07
影响因子：
0.6
通讯作者：
J. Mai;S. Shao
中科院分区：
文献类型：
--
作者：
J. Mai;S. Shao
本文证明了任何不含周期点的图映射只有一个极小集。我们描述了一类没有周期点的图映射。我们的主要结果是给出了一个无周期点图映射的结构定理，该定理表明任何无周期点的图映射必须拓扑共轭于所描述的类之一。此外，还给出了结构定理的一些应用。
In this paper we show that any graph map without periodic points has only one minimal set. We describe a class of graph maps without periodic points. Our main result is to give a structure theorem of graph maps without periodic points, which states that any graph map without periodic points must be topologically conjugate to one of the described class. In addition, we give some applications of the structure theorem.