the extended quasiparticle states are expected to be precisely at the Fermi level when the 2DES is in a paramagnetic state. The Hall conductivity should jump from $0$ to $2 e^2/h$ at $\nu=1$. In the ferromagnetic state, the majority-spin extended quasiparticle state will be below the Fermi level, the majority-spin extended state will be above the Fermi level and the Hall conductivity at $\nu=1$ should be quantized at $\sigma_{xy} = e^2/h$. The spontaneous splitting of the two extended state energies is experimentally accessible and should exhibit interesting power law critical behavior as the ferromagnetic state is entered. This transport gap should vary monotonically with the global spin polarization, although the precise relationship between these quantities is not trivial.

It is interesting to note that the Skyrmion-anti-Skyrmion pairs predicted recently by Nederveen and Narazov [@Nederveen] do not appear in our calculations. We do not conclude that these objects cannot appear at $\nu=1$; we would expect them, for example, if we choose a disorder model with relatively large potential variations, but only on a length scale much larger than the Skyrmion size. In this case the NL$\sigma$ model considerations in Ref. should be applicable. Our calculations demonstrate rather clearly however, that charge 