Title of article :
Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point
Author/Authors :
Block، نويسنده , , Louis and Keesling، نويسنده , , James and Raines، نويسنده , , Brian and ?timac، نويسنده , , Sonja، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2009
Abstract :
Let T be a tent map with the slope strictly between 2 and 2. Suppose that the critical point of T is not recurrent. Let K denote the inverse limit space obtained by using T repeatedly as the bonding map. We prove that every homeomorphism of K to itself is isotopic to some power of the natural shift homeomorphism.
Keywords :
Inverse limits , Unimodal , Continuum , Invariant set , Indecomposable , Attractor
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications