Generalized capacities and polyhedral surfaces

In the paper, we apply the theory of extremal length of vector measures to establish that the generalized condenser capacity in the sense of Aikawa and Ohtsuka is related to the module of a family of surfaces separating the condenser's plates and no intersecting prescribed set. We prove that the system of the polyhedral surfaces from the above family is sufficient to approximate the module of this family. Bibl. 17 titles.