On isotopy and unimodal inverse limit spaces

2010/10/18 by Henk Bruin, Bruin, Henk, Sonja Stimac +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1010.3535

arxiv created 2010/10/18 · arxiv updated 2010/10/19

Abstract

We prove that every self-homeomorphism h : K_s → K_s on the inverse limit space K_s of tent map T_s with slope s ∈ (√ 2, 2] is isotopic to a power of the shift-homeomorphism σ^R : K_s → K_s.

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