  We show how certain topological properties of co-K\"ahler manifolds derive
from those of the K\"ahler manifolds which construct them. In particular, we
show that the existence of parallel forms on a co-K\"ahler manifold reduces the
computation of cohomology from the de Rham complex to certain amenable
sub-cdga's defined by geometrically natural operators derived from the
co-K\"ahler structure. This provides a simpler proof of the formality of the
foliation minimal model in this context.
