Title of article :
The inverse limit space and the dynamics of a graph map
Author/Authors :
Lü، نويسنده , , Jie-Yu Xiong، نويسنده , , Jincheng and Ye، نويسنده , , Xiangdong، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2000
Abstract :
Let f :G→G be a strictly piecewise monotone continuous map on a finite graph G. By investigating the topological structure of the inverse limit space (G,f) using f as a sole bonding map, we show that the following statements are equivalent:
,f) contains no indecomposable subcontinuum.
e topological entropy of f is zero.
,f) is Suslinean.
ch homeomorphism of (G,f) has zero topological entropy.
has finitely many nontrivial minimal sets.
e set of recurrent points of f is closed.
ch ω-limit point is a recurrent one.
ch recurrent point of f is an almost periodic one.
Keywords :
Graph maps , Suslinean continuum , Inverse limit space , Topological entropy
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications