REMARKS ON STRATIFICATIONS OF HOLOMORPHIC DISCRETE MAPPINGS

Given an holomorphic and discrete map f of M onto S, M and S smooth, we construct a Whitney stratification {V(i)} of M such that each f\vi is an immersion and such that the local topological degree m (f, x) is constant along each connected component of each stratum. This proof gives also local stratifications which will be used in our two next Notes.