  The relationship between the sources of physical fields and the fields
themselves is investigated with regard to the coupling of topological
information between them. A class of field theories that we call topological
field theories is defined such that both the field and its source represent de
Rham cocycles in varying dimensions over complementary subspaces and the
coupling of one to the other is by way of an isomorphism of the those
cohomology spaces, which we refer to as field/source duality. The deeper basis
for such an isomorphism is investigated and the process is described for
various elementary physical examples of topological field theories.
