Spaces of omega-limit sets of graph maps

作者：Mai Jie Hua; Shao Song

来源：Fundamenta Mathematicae, 2007, 196(1): 91-100.

DOI：10.4064/fm196-1-2

• omega-limit set
• graph rnap
• hyperspace

Let (X, f) be a dynamical system. In general the set of all omega-limit sets of f is not closed in the hyperspace of closed subsets of X. In this paper we study the case when X is a graph, and show that the family of w-limit sets of a graph map is closed with respect to the Hausdorff metric.

• 出版日期2007
• 单位汕头大学