W. L. Silva

activity

20132026

collaborators

8 papers

math.AT2026

Homotopy minimal periods for fiber maps on circle bundles over circle

Weslem Liberato Silva, Rafael Moreira de Souza

Given a fiber bundle $Y \to M p B$ and a fiber map $f : M \to M$ over $B$ , we introduce the notion of fiberwise homotopy minimal periods, denoted by $H_BPe…

math.AT2026

A Lefschetz type homomorphism for coincidence of several maps

Pryscilla dos Santos Ferreira Silva, Weslem Liberato Silva

Given $p$ -maps $f_{1}, \dots, f_{p} : X \to M,$ $p \geq 2,$ from an arbitrary topological space to an orientable closed connected $m$ -manifold, in this paper we define a graded homomo…

math.AT2024

A Nielsen type periodic number for maps over $B$

Weslem Liberato Silva, Rafael Moreira de Souza

Let $Y \to E \to p B$ be a fibration and let $f : E \to E$ be a fiber map over $B$ . In this work, we study the geometric and algebraic Reidemeister classes of the iterat…

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.AT2021

Computing the one-parameter Nielsen number for homotopies on the n-torus

Weslem Liberato Silva

Let $F : T^{n} \times I \to T^{n}$ be a homotopy on a n-dimensional torus. The main purpose of this paper is to present a formula for the one-parameter Nielsen number $N (F)$ of $F$ …

math.AT2016

Periodic points on T - fiber bundles over the circle

Weslem L. Silva, Rafael M. Souza

The main purppose this work is to study periodic points of fiber-preserving maps on fiber bundles with base circle and fiber torus.

math.AT2015

One-parameter Lefschetz class of homotopies on torus

Weslem L. Silva

The main result this paper states that if $F : T \times I \to T$ is a homotopy on torus then the one-parameter Lefschetz class $L (F)$ of $F$ is given by $L (F) = \pm N (F) α$ , where $N…

math.AT2013

Minimal fixed point set of maps on Torus Fiber Bundles over the Circle