  A conventional superconductor with spin-orbit coupling turns into a
topological superconductor beyond a critical strength of the Zeeman energy. The
spin-expectation values $\mathbf{S}(\mathbf{k})$ in momentum space trace this
transition via a characteristic change in the topological character of the spin
texture within the Brillouin zone. At the transition the skyrmion counting
number switches from 0 to 1/2 identifying the topological superconductor via
its meron-like spin texture. The change in the skyrmion counting number is
crucially controlled by singular points of the map
$\mathbf{S}(\mathbf{k})/|\mathbf{S}(\mathbf{k})|$ from the Brillouin zone, i.e.
a torus, to the unit sphere. The complexity of this spin-map is discussed at
zero temperature as well as for the extension to finite temperatures.
