  We give a general description of the dual of the pullback of a normed module.
Ours is the natural generalization to the context of modules of the well-known
fact that the dual of the Lebesgue-Bochner space $L^p([0,1],B)$ consists -
quite roughly said - of $L^q$ maps from $[0,1]$ to the dual $B'$ of $B$
equipped with the weak$^*$ topology.
  In order to state our result, we study various fiberwise descriptions of a
normed module that are of independent interest.
