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 $CW$-complex $K$ with fundamental group $\Pi$ and second integer cohomology group $H^2(K;\mathbb{Z})$ finite of odd order, we prove that:…