On Topological Approaches to the Jacobian Conjecture in ${\mathbb{C}}^n$

Francisco Braun, Luis Renato G. Dias, Jean Venato-Santos

We obtain a structure theorem for the nonproperness set $S_f$ of a nonsingular polynomial mapping $f:{\mathbb{C}}^n\to {\mathbb{C}}^n$. Jelonek's results on $S_f$ and our result show…