#### Volume 9, issue 2 (2009)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
A classification of inverse limit spaces of tent maps with a nonrecurrent critical point

### Brian E Raines and Sonja Štimac

Algebraic & Geometric Topology 9 (2009) 1049–1088
##### Abstract

In this paper we prove the nonrecurrent case of the Ingram conjecture by showing that if ${T}_{s}$ and ${T}_{t}$ are two tent maps with nonrecurrent critical points then $\underset{←}{lim}\left\{\left[0,1\right],{T}_{s}\right\}$ is homeomorphic to $\underset{←}{lim}\left\{\left[0,1\right],{T}_{t}\right\}$ if and only if $s=t$.

##### Keywords
tent map, nonrecurrent critical point, inverse limit space, folding point
Primary: 37B10
Secondary: 37B45
##### Publication
Received: 7 January 2008
Revised: 11 April 2009
Accepted: 15 April 2009
Published: 16 May 2009
##### Authors
 Brian E Raines Department of Mathematics Baylor University Waco, TX USA http://www.baylor.edu/math/index.php?id=54016 Sonja Štimac Graduate School of Economics and Business University of Zagreb Kennedyev trg 6 10000 Zagreb Croatia http://www.efzg.hr/sstimac