Abstract:
The sufficiency of a family of polyhedral surfaces for calculating the modulus of a family of surfaces separating the plates of a condenser in an open set is proved. Geometric properties of removable sets for this modulus are also determined.
Keywords:modulus of a family of surfaces, condenser, surface separating plates of a condenser, removable set for a modulus of a family of surfaces, polyhedral surface, Lebesgue and Hausdorff measure, Borel function, Hölder inequality.