Abstract

We say that a continuous map on a topological space is partially periodic point free up period n if it does not have periodic points of periods smaller than n + 1. A weaker notion is Lefschetz partially periodic point free up period n. In the present article, we consider continuous self-maps on wedge sums of spheres. We give necessary and/or sufficient conditions for such maps to be Lefschetz partially periodic point free up some period related to the structure of the space.