Nielsen numbers of $n$-valued maps on infra-solvmanifolds
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914420770209792 |
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| author | Dekimpe, Karel De Weerdt, Lore |
| author_facet | Dekimpe, Karel De Weerdt, Lore |
| contents | We derive a formula for the Nielsen number $N(f)$ for every $n$-valued self-map $f$ of an infra-solvmanifold. To do this, we express $N(f)$ in terms of Nielsen coincidence numbers of single-valued maps on solvmanifolds, and derive a formula for Nielsen coincidence numbers in that setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13438 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nielsen numbers of $n$-valued maps on infra-solvmanifolds Dekimpe, Karel De Weerdt, Lore Algebraic Topology We derive a formula for the Nielsen number $N(f)$ for every $n$-valued self-map $f$ of an infra-solvmanifold. To do this, we express $N(f)$ in terms of Nielsen coincidence numbers of single-valued maps on solvmanifolds, and derive a formula for Nielsen coincidence numbers in that setting. |
| title | Nielsen numbers of $n$-valued maps on infra-solvmanifolds |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2506.13438 |