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

• Marcos J. González ^[2] ; Víctor F. Sirvent ^[1] ; Richard Urzúa ^[1]
  1. [1] Universidad Católica del Norte

     Universidad Católica del Norte

     Antofagasta, Chile

     
  2. [2] Universidad Simón Bolívar
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 3, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.

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