Vinicius Casteluber Laass

activity

20162022

collaborators

4 papers

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…

math.GT2021

The Borsuk-Ulam property for homotopy classes of maps between the torus and the Klein bottle -- part 2

Daciberg Lima Gonçalves, John Guaschi, Vinicius Casteluber Laass

Let $M$ be a topological space that admits a free involution $τ$ , and let $N$ be a topological space. A homotopy class $β \in [M, N]$ is said to have the Borsuk-Ulam property with…

math.GT2019

The Borsuk-Ulam property for homotopy classes of maps between the torus and the Klein bottle

Daciberg Lima Gonçalves, John Guaschi, Vinicius Casteluber Laass

Let $M$ be a topological space that admits a free involution $τ$ , and let $N$ be a topological space. A homotopy class $β \in [M, N]$ is said to have {\it the Borsuk-Ulam property…

math.GT2016

The Borsuk-Ulam property for homotopy classes of selfmaps of surfaces of Euler characteristic zero

Daciberg Lima Gonçalves, John Guaschi, Vinicius Casteluber Laass

Let M and N be topological spaces such that M admits a free involution $\τ$. A homotopy class $β$ $\in$ [M, N ] is said to have the Borsuk-Ulam property with respect to $\τ$ if for…