This is a preview. Log in through your library . Abstract It is shown that there exist $2n + 1$ real valued, continuous functions $\phi_0,\ldots, \phi_{2n}$ defined on $\mathbf{R}^n$ such that every ...

Let ent denote topological entropy, and let $C'r(S^1, S^1)$ denote the space of continuous functions of the circle to itself having $r$ continuous derivatives with ...