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pro vyhledávání: '"De Weerdt, Lore"'
Autor:
Dekimpe, Karel, De Weerdt, Lore
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-valued maps between finite orientable covering spaces of $X$. We then d
Externí odkaz:
http://arxiv.org/abs/2409.17794
Autor:
Dekimpe, Karel, De Weerdt, Lore
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 $n$-valued maps in [4]. In this paper, we extend these results further and e
Externí odkaz:
http://arxiv.org/abs/2404.14889
Autor:
Dekimpe, Karel, De Weerdt, Lore
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 valued case, where any such map is homotopic to an affine (even linear)
Externí odkaz:
http://arxiv.org/abs/2401.05053
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