  Two established frameworks account for the onset of a gap in a
superconducting system: one is based on spontaneous symmetry breaking via the
Anderson-Higgs-Kibble mechanism, and the other is based on the recently
developed paradigm of topological order. We show that, on manifolds with non
trivial topology, both mechanisms yield a degeneracy of the ground state
arising only from the {\it incompressibility} induced by the presence of a gap.
We compute the topological entanglement entropy of a topological superconductor
and argue that its measure allows to {\it distinguish} between the two
mechanisms of generating a superconducting gap.
