  We give examples of endomorphisms in dimension one with infinite topological
entropy which are $\alpha$-H\"older and $(1,p)$-Sobolev for all $0\leq\alpha<1$
and $1\leq p<\infty$. This is constructed within a family of endomorphisms with
infinite topological entropy and which traverse all $\alpha$-H\"older and
$(1,p)$-Sobolev classes. Finally, we also give examples of endomorphisms, also
in dimension one, which lie in the big and little Zygmund classes, answering a
question of M. Benedicks.
