Karel Dekimpe

collaborators

3 papers

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.GR2026

Cohomological and quasi-isometric diversity of groups with property $R_{\infty}$

Karel Dekimpe, Paula M. Lins de Araujo, Yuri Santos Rego

How rich is the collection of groups with a given prominent property? In this work we approach this question for property~ $R_{\infty}$ , which says that every automorphism $I ¨ $ of a g…

math.GT2025

The R $_{\infty}$ -property for braid groups over orientable surfaces

Karel Dekimpe, Daciberg Lima GonÃ§alves, Oscar Ocampo

Let $I^£_{g, p}$ be an orientable surface of genus $g$ and of finite type without boundary (i.e. an orientable closed surface with a finite number $p$ of points removed). In this pap…

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

Cohomological and quasi-isometric diversity of groups with property R∞​

The R∞​-property for braid groups over orientable surfaces

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

Cohomological and quasi-isometric diversity of groups with property $R_{\infty}$

The R $_{\infty}$ -property for braid groups over orientable surfaces