K. Dekimpe

collaborators

4 papers

math.AT2026

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

Karel Dekimpe, Lore De Weerdt

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…

math.AT2026

Averaging formulas for the Reidemeister trace, Lefschetz and Nielsen numbers of $n$ -valued maps

Karel Dekimpe, Lore De Weerdt

For an $n$ -valued self-map $f$ of a closed manifold $X$ , we prove an averaging formula for the Reidemeister trace of $f$ in terms of the Reidemeister coincidence traces of single-v…

math.AT2026

An averaging formula for Nielsen numbers of affine n-valued maps on infra-nilmanifolds

Karel Dekimpe, Lore De Weerdt

In [8,9], the authors developed a nice formula to compute the Nielsen number of a self-map on an infra-nilmanifold. For the case of nilmanifolds this formula was extended to $n$ -va…

math.AT2026

Non-affine $n$ -valued maps on tori

Karel Dekimpe, Lore De Weerdt

In this paper we construct $n$ -valued maps on $k$ -dimensional tori, where $n, k \geq 2$ , that are not homotopic to affine $n$ -valued maps. This is in high contrast with the single va…

Nielsen numbers of n-valued maps on infra-solvmanifolds

Averaging formulas for the Reidemeister trace, Lefschetz and Nielsen numbers of n-valued maps

An averaging formula for Nielsen numbers of affine n-valued maps on infra-nilmanifolds

Non-affine n-valued maps on tori

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

Averaging formulas for the Reidemeister trace, Lefschetz and Nielsen numbers of $n$ -valued maps

Non-affine $n$ -valued maps on tori