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

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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