ARE THERE THREE KINDS OF SUPERCONDUCTIVITY?

A Maxwell system of differential forms induces a coarse topology on a space time variety. This topology can be refined by certain extremal constraints of domain closure that lead to three topologically distinct, reactive impedances, Z1, Z2, Z3. These non-dissippative impedances are rational fraction ratios of topological invariants. The closure conditions induce physical constraints that permit Z1 to be identified with ordinary type I and II superconductive domains, and Z3 with the fractional quantum Hall effect. Only Z2 admits the time-reversal and parity symmetry breaking associated with Anyon theories.