On isotopy and unimodal inverse limit spaces

preprint2010arXivOpen access

Abstract

We prove that every self-homeomorphism h:Ks→Ksh : K_s \to K_s on the inverse limit space KsK_s of tent map TsT_s with slope s∈(2,2]s \in (\sqrt 2, 2] is isotopic to a power of the shift-homeomorphism σR:Ks→Ksσ^R : K_s \to K_s.

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