Homological data on the periodic structure of self-maps on wedge sums
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912628005142528 |
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| author | González, Marcos J. Sirvent, Víctor F. Urzúa, Richard |
| author_facet | González, Marcos J. Sirvent, Víctor F. Urzúa, Richard |
| contents | In this article, we study the periodic points for continuous self-maps on the 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 the wedge sum of tori, and show some of the homological obstructions present in defining these maps. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_16011 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homological data on the periodic structure of self-maps on wedge sums González, Marcos J. Sirvent, Víctor F. Urzúa, Richard Dynamical Systems 37C25, 55M20, 37C30, 37E15 In this article, we study the periodic points for continuous self-maps on the 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 the wedge sum of tori, and show some of the homological obstructions present in defining these maps. |
| title | Homological data on the periodic structure of self-maps on wedge sums |
| topic | Dynamical Systems 37C25, 55M20, 37C30, 37E15 |
| url | https://arxiv.org/abs/2502.16011 |