Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660629 | Topology and its Applications | 2007 | 15 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology