1Institute of Mathematics Shantou University Shantou, Guangdong, 515063, P.R. China 2Department of Mathematics University of Science and Technology of China Hefei, Anhui, 230026, P.R. China
Fundamenta Mathematicae, Tome 196 (2007) no. 1, pp. 91-100
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.
Keywords:
dynamical system general set omega limit sets closed hyperspace closed subsets paper study graph family omega limit sets graph map closed respect hausdorff metric
Affiliations des auteurs :
Jie-Hua Mai
1
;
Song Shao
2
1
Institute of Mathematics Shantou University Shantou, Guangdong, 515063, P.R. China
2
Department of Mathematics University of Science and Technology of China Hefei, Anhui, 230026, P.R. China
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Jie-Hua Mai; Song Shao. Spaces of $\omega $-limit sets of graph maps. Fundamenta Mathematicae, Tome 196 (2007) no. 1, pp. 91-100. doi: 10.4064/fm196-1-2
