D. Gonçalves

activity

20042026

most citedThe

R_{\infty}

property for free groups, free nilpotent groups and free solvable groups

30 citations · 222 across the 51 of their papers we have counts for

collaborators

59 papers

math.AT2026

A study of $n$ -valued non-split maps and applications

Daciberg Lima Gonçalves, Bartira Maués, Daniel Vendrúscolo

For a given $n$ -valued map, there exists a suitable minimal covering of the domain such that the composition of this covering with the map yields a split map, composed of $n$ singl…

math.GN2025

At most n-valued maps

Daciberg Lima Goncalves, Robert Skiba, P. Christopher Staecker

This paper concerns various models of ``at-most- $n$ -valued maps''. That is, multivalued maps $f : X ⊸ Y$ for which $f (x)$ has cardinality at most $n$ for each $x$ . We consider…

math.GR2024★ 1 cited

Characteristic subgroups and the R $_{\infty}$ -property for virtual braid groups

Karel Dekimpe, Daciberg Lima Gonçalves, Oscar Ocampo

Let $n \geq 2$ . Let $V B_{n}$ (resp. $V P_{n}$ ) denote the virtual braid group (resp. virtual pure braid group), let $W B_{n}$ (resp. $W P_{n}$ ) denote the welded braid group (resp. welded pure…

math.AT2023

The Borsuk-Ulam property for homotopy classes on bundles, parametrized braids groups and applications for surfaces bundles

Daciberg Lima Gonçalves, Vinicius Casteluber Laass, Weslem Liberato Silva

Let $M$ and $N$ be fiber bundles over the same base $B$ , where $M$ is endowed with a free involution $τ$ over $B$ . A homotopy class $δ \in [M, N]_{B}$ (over $B$ ) is said to have the…

math.AT2022

Borsuk-Ulam property and Sectional Category

Cesar A. Ipanaque Zapata, Daciberg L. Gonçalves

For a Hausdorff space $X$ , a free involution $τ : X \to X$ and a Hausdorff space $Y$ , we discover a connection between the sectional category of the double covers $q : X \to X / τ$ and $q^…

math.GT2022

Free cyclic actions on surfaces and the Borsuk-Ulam theorem

Daciberg Lima Gonçalves, John Guaschi, Vinicius Casteluber Laass

Let $M$ and $N$ be topological spaces, let $G$ be a group, and let $τ : G \times M \to M$ be a proper free action of $G$ . In this paper, we define a Borsuk-Ulam-type…

A study of n-valued non-split maps and applications