Preprint A173/2002
A Note on Properness and the Jacobian Conjecture in R^2

Nguyen Van Chau | Gutierrez, Carlos

**Keywords: **
Jacobian Conjecture | Polynomial diffeomorphism

A non-zero constant Jacobian polynomial map F=(P,Q): R^2 -> R^2 is a global diffeomorphism if the restrictions of F to every real level P^{-1}(c), with |c| large enough, is proper.