Rotation sets for unimodal maps of the interval (Q1812319)

The author relates the rotation interval \(\rho(f)\) of a unimodal map of the interval with its kneading invariant \(K(f)\). In particular, he shows that for any \(\mu\in (0,\frac12)\), there are kneading invariants \(\nu_{\mu}\) and \(\nu_{\mu,\text{hom}}\) such that \(\rho(f)=[\mu,\frac12]\) if and only if \(\nu_{\mu}\preceq K(f)\preceq\nu_{\mu,\text{hom}}\). There are several inaccuracies (typos) in the paper: 1) The set \(M_n\) contains also patterns which are not unimodal. 2) Definition 1.11. A pattern \(\pi\) with rotation number \(\rho(\pi)=\frac{p}{q}\) is twist if it does not force any other pattern of the same rotation number. 3) In Theorem 1.12 should be \(T_{\mu_1}\rightarrow T_{\mu_2}\).