Entropy of homeomorphisms on unimodal inverse limit spaces

We prove that every self-homeomorphism h : K-s -> K-s on the inverse limit space K-s of the tent map T-s with slope s is an element of (root 2, 2] has topological entropy h(top)(h) = vertical bar R vertical bar log s, where R is an element of Z is such that h and sigma(R) are isotopic. Conclusions on all possible values of the entropy of homeomorphisms of the inverse limit space of a (renormalizable) quadratic map are also drawn.