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Nielsen numbers of $n$-valued maps on infra-solvmanifolds
Karel Dekimpe, Lore De Weerdt
https://arxiv.org/abs/2506.13438 https://arxi…

Nielsen numbers of $n$-valued maps on infra-solvmanifolds
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.