M. C. Fenille

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20092021

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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…