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Acta Mathematica Vietnamica

A SUFFICIENT CONDITION FOR BIJECTIVITY OF POLYNOMIAL MAPS ON THE REAL PLANE

icon-email NGUYEN VAN CHAU

Abstract

It is shown that the non-singular polynomial map f of R2 into itself is a global diffeomorphism of R2 if 0Co{Df(x)vx>Const.} for a vector v. This result is a variant of a theorem of Olech and Meister [3, 6] for the polynomial case.