Spaces of ω-limit sets of graph maps

Jie-Hua Mai, and Song Shao. "Spaces of ω-limit sets of graph maps." Fundamenta Mathematicae 196.1 (2007): 91-100. <http://eudml.org/doc/282742>.

@article{Jie2007,
abstract = {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.},
author = {Jie-Hua Mai, Song Shao},
journal = {Fundamenta Mathematicae},
keywords = {-limit set; graph map; hyperspace},
language = {eng},
number = {1},
pages = {91-100},
title = {Spaces of ω-limit sets of graph maps},
url = {http://eudml.org/doc/282742},
volume = {196},
year = {2007},
}

TY - JOUR
AU - Jie-Hua Mai
AU - Song Shao
TI - Spaces of ω-limit sets of graph maps
JO - Fundamenta Mathematicae
PY - 2007
VL - 196
IS - 1
SP - 91
EP - 100
AB - 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.
LA - eng
KW - -limit set; graph map; hyperspace
UR - http://eudml.org/doc/282742
ER -