On isotopy and unimodal inverse limit spaces

Henk Bruin; Sonja Štimac

doi:10.3934/dcds.2012.32.1245

Article Contents

2012, Volume 32, Issue 4: 1245-1253. Doi: 10.3934/dcds.2012.32.1245

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On isotopy and unimodal inverse limit spaces

Henk Bruin^1, and
Sonja Štimac^2,

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

Received: September 30, 2010

Revised: June 30, 2011

Published: March 2012

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Abstract

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 $\sigma^R : K_s \to K_s$.

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Mathematics Subject Classification: Primary: 54H20; Secondary: 37B45, 37E05.

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References

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