Article ID Journal Published Year Pages File Type
4660136 Topology and its Applications 2009 9 Pages PDF
Abstract

Let T be a tent map with the slope strictly between 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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology