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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年5月13日

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

摘要

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.