M. C. Fenille

activity

20092021

collaborators

4 papers

math.AT2021

Strong surjections from two-complexes with odd order top-cohomology onto the projective plane

Marcio C. Fenille, Daciberg L. Gonçalves, Oziride M. Neto

Given a finite and connected two-dimensional $C W$ -complex $K$ with fundamental group $Π$ and second integer cohomology group $H^{2} (K; Z)$ finite of odd order, we prove that:…

math.AT2020

Roots of maps between spheres and projective spaces in codimension one

M. C. Fenille, D. L. Gonçalves, G. L. Prado

For maps from $S^{3}$ and $\RP^3$ into $S^{2}$ and $\RP^2$, we study the problem of minimizing the root set by deforming the maps through homotopies. After presenting the classificatio…

math.AT2020

Strongly surjective maps from certain two-complexes with trivial top-cohomology onto the projective plane

Daciberg Lima Gonçalves, Marcio Colombo Fenille

For the model two-complex $K$ of the group presentation $P = ⟨ x, y ∣ x^{k + 1} y x y ⟩$ , with $k \geq 1$ odd, we describe representatives for all free and based homo…

math.GN2009

Closed injective systems and its fundamental limit spaces

Marcio Colombo Fenille

In this article we introduce the concept of limit space and fundamental limit space for the so-called closed injected systems of topological spaces. We present the main results on…