Lore De Weerdt

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math.AT2026

Nielsen coincidence theory for $(n, 1)$ -valued pairs

Karel Dekimpe, Lore De Weerdt

We generalise Nielsen theory to coincidences of pairs $(f, g)$ where $f : X ⊸ Y$ is $n$ -valued multimap and $g : X \to Y$ is a single-valued map, for $X$ and $Y$ closed oriented t…

math.AT2026★ 2 cited

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 coincidence theory for (n,1)-valued pairs

Non-affine n-valued maps on tori

Nielsen coincidence theory for $(n, 1)$ -valued pairs

Non-affine $n$ -valued maps on tori