In this note we prove the next claim: If C is a hereditarily decomposable arc-like continuum and f : C --> C is a continuous mapping with a periodic point of period 3, then f has positive topological entropy. This result ...
Let (H (C), p) be the metric space of all entire functions f where the metric p induces the topology of uniform convergence on compact subsets of the complex plane. Let D : H (C) -> H (C) be the linear mapping that assigns ...