Vinicius Casteluber Laass

collaborators

2 papers

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.AT2023

The Borsuk-Ulam theorem for n-valued maps between surfaces

Vinicius Casteluber Laass, Carolina de Miranda e Pereiro

In this work we analysed the validity of a type of Borsuk-Ulam theorem for multimaps between surfaces. We developed an algebraic technique involving braid groups to study this prob…