  We supply basic tools for the study of the topological order of a multiplet
which is an eigenspace of a finite-dimensional normal operator with continuous
parameters. We allow intrinsic degeneracies within the multiplet where a
well-known standard procedure does not work. As an important example, we give
novel expressions for a spin Hall conductance for unitary superconductors with
equal spin pairing. Generic topological orders will be treated in this unified
manner particularly with nontrivial topological degeneracies.
