On a weak Jelonek's real Jacobian Conjecture in ${\mathbb{R}}^n$

Alexandre Fernandes, Carlos Maquera, Jean Venato Santos

Let $Y:{\mathbb{R}}^n\to {\mathbb{R}}^n$ be a polynomial local diffeomorphism and let $S_Y$ denote the set of not proper points of $Y$. The Jelonek's real Jacobian Conjecture states that if $\codim(S_Y…