On isotopy and unimodal inverse limit spaces

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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Hauptverfasser:	Bruin, Henk, Stimac, Sonja
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Sprache:	eng
Schlagworte:	Mathematics - Dynamical Systems
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creator	Bruin, Henk Stimac, Sonja
description	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 $\sigma^R : K_s \to K_s$.
doi_str_mv	10.48550/arxiv.1010.3535
format	Article
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title	On isotopy and unimodal inverse limit spaces
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