Periods of continuous maps on some compact spaces

Abstract

The objective of this paper is to provide information on the set of periodic points of a continuous self-map defined in the following compact spaces: (the n-dimensional sphere), (the product space of the n-dimensional with the m-dimensional spheres), (the n-dimensional complex projective space) and (the n-dimensional quaternion projective space). We use as main tool the action of the map on the homology groups of these compact spaces.