On the higher topological complexity of manifolds with abelian fundamental group
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914362494550016 |
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| author | Cadavid-Aguilar, N. Cohen, D. González, J. Hughes, S. Vandembroucq, L. |
| author_facet | Cadavid-Aguilar, N. Cohen, D. González, J. Hughes, S. Vandembroucq, L. |
| contents | We study the higher (or sequential) topological complexity $\mathrm{TC}_s$ of manifolds with abelian fundamental group. We give sufficient conditions for $\mathrm{TC}_s$ to be non-maximal in both the orientable and non-orientable cases. In combination with cohomological lower bounds, we also obtain some exact values for certain families of manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06229 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the higher topological complexity of manifolds with abelian fundamental group Cadavid-Aguilar, N. Cohen, D. González, J. Hughes, S. Vandembroucq, L. Algebraic Topology 55M30, 55S40, 57N65 We study the higher (or sequential) topological complexity $\mathrm{TC}_s$ of manifolds with abelian fundamental group. We give sufficient conditions for $\mathrm{TC}_s$ to be non-maximal in both the orientable and non-orientable cases. In combination with cohomological lower bounds, we also obtain some exact values for certain families of manifolds. |
| title | On the higher topological complexity of manifolds with abelian fundamental group |
| topic | Algebraic Topology 55M30, 55S40, 57N65 |
| url | https://arxiv.org/abs/2506.06229 |