On isotopy and unimodal inverse limit spaces

Details On isotopy and unimodal inverse limit spaces On isotopy and unimodal inverse limit spaces

2010-10-18

arxiv.org/abs/1010.3535v1

Mathematics

Dynamical Systems

Scientific paper

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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