Abstract
Let f:K^n -> K^p be a C^2 semi-algebraic mapping for K=R or a polynomial mapping for K=C$. It is well-known that f is a locally trivial topological fibration over the complement of the atypical set. The objects of this project are atypical values, foliations defined by f and global diffeomorphisms for n=p. The main proposals are: to extend for atypical values, the techniques used in foli…