Resumen de Homological Data on the Periodic Structure of Self-Maps on Wedge Sums

Marcos J. González, Víctor F. Sirvent, Richard Urzúa

• In this article, we study the periodic points for continuous self-maps on a wedge sum of topological manifolds, exhibiting a particular combinatorial structure. We compute explicitly the Lefschetz numbers, the Dold coefficients and consider its set of algebraic periods. Moreover, we study the special case of maps on a wedge sum of tori, and show some of the homological obstructions present in defining these maps.