Spaces of -limit sets of graph maps
Tom 196 / 2007
Fundamenta Mathematicae 196 (2007), 91-100
MSC: Primary 37E25; Secondary 54B20.
DOI: 10.4064/fm196-1-2
Streszczenie
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 \omega -limit sets of a graph map is closed with respect to the Hausdorff metric.
