# American Institute of Mathematical Sciences

April  2012, 32(4): 1245-1253. doi: 10.3934/dcds.2012.32.1245

## On isotopy and unimodal inverse limit spaces

 1 Department of Mathematics, University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom 2 Department of Mathematics, University of Zagreb, Bijenička 30, 10 000 Zagreb, Croatia

Received  October 2010 Revised  July 2011 Published  October 2011

We prove that every self-homeomorphism $h : K_s \to K_s$ on the inverse limit space $K_s$ of tent map $T_s$ with slope $s \in (\sqrt 2, 2]$ is isotopic to a power of the shift-homeomorphism $\sigma^R : K_s \to K_s$.
Citation: Henk Bruin, Sonja Štimac. On isotopy and unimodal inverse limit spaces. Discrete & Continuous Dynamical Systems - A, 2012, 32 (4) : 1245-1253. doi: 10.3934/dcds.2012.32.1245
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