  Suppose that $f:X\to Y$ is a dominant morphism of 3-folds over an
algebraically closed field of characteristic zero. We prove that there exist
sequences of blow ups of points and nonsingular curves $\Phi:X_1\to X$ and
$\Psi:Y_1\to Y$ such that the induced map $f_1:Y_1\to X_1$ is a toroidal
morphism.
  This extends an earlier proof of the author of this theorem with the extra
assumption that $f$ is birational.
