Special generic maps on open 4-manifolds
Special generic maps on open 4-manifolds
We characterize those smooth l-connected open 4-manifolds with certain finite type properties which admit proper special generic maps into 3-manifolds.As a corollary, we show that a smooth 4-manifold home- omorphic to $R^{4}$ admits a proper special generic map into $R^{3}$ if and only if it is diffeomorphic to $R^{4}$ .We …