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…