Spaces of ω-limit sets of graph maps

• Autorzy: Jie-Hua Mai , Song Shao
• Języki publikacji: EN

Abstrakty

EN

Let (X,f) be a dynamical system. In general the set of all ω-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 ω-limit sets of a graph map is closed with respect to the Hausdorff metric.

Kategorie tematyczne

• 54B20: Hyperspaces
• 37E25: Maps of trees and graphs

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 196
• Numer: 1
• Strony: 91-100

Daty

wydano

2007

Twórcy

autor

Jie-Hua Mai

• Institute of Mathematics, Shantou University, Shantou, Guangdong, 515063, P.R. China

autor

Song Shao

• Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, P.R. China

Identyfikatory

DOI

10.4064/fm196-1-2