2 citations · 5 across the 4 of their papers we have counts for
5 papers
Nielsen coincidence theory for -valued pairs
Karel Dekimpe, Lore De Weerdt
We define a Nielsen coincidence number for pairs of maps where is -valued and is -valued. The classical definition of the Nielsen number does not work in this…
Nielsen numbers of -valued maps on infra-solvmanifolds
Karel Dekimpe, Lore De Weerdt
We derive a formula for the Nielsen number for every -valued self-map of an infra-solvmanifold. To do this, we express in terms of Nielsen coincidence numbers…
Averaging formulas for the Reidemeister trace, Lefschetz and Nielsen numbers of -valued maps
Karel Dekimpe, Lore De Weerdt
For an -valued self-map of a closed manifold , we prove an averaging formula for the Reidemeister trace of in terms of the Reidemeister coincidence traces of single-v…
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 -va…
Non-affine -valued maps on tori
Karel Dekimpe, Lore De Weerdt
In this paper we construct -valued maps on -dimensional tori, where , that are not homotopic to affine -valued maps. This is in high contrast with the single va…