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 ...
A continuum X has the Omega - EP property provided that for each self-mapping f the set of nonwandering points of f is contained in the closure of the set of eventually periodic points of f. It is known that the interval ...
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 ...