  We prove that an embedded cobordism between manifolds with boundary can be
split into a sequence of right product and left product cobordisms, if the
codimension of the embedding is at least two. This is a topological counterpart
of the algebraic splitting theorem for embedded cobordisms of the first author,
A. Nemethi and A. Ranicki. In the codimension one case, we provide a slightly
weaker statement. We also give proofs of rearrangement and cancellation
theorems for handles of embedded submanifolds with boundary.
