Abstract
In the presence of localized states the Kubo-Greenwood formula for electrical conductivity assumes kinetic asymmetry generated by dissipation. When this asymmetry is combined with topological freedom, the density dependence of the metallic conductivity near threshold is correctly obtained. Anderson localization of electronic states in a random impurity potential is topologically equivalent to domain formation in random-field king models. The separable extended states postulated by the theory simply explain recent observations of the Hall effect in one-dimensional wires.