A generalized notion of perimeter, which includes hypersurfaces bounding volumes in -dimensional Euclidean spaces, is described by the theory of Caccioppoli sets.
a gENeraliZeD notIon Of PerIMeTEr, wHIch iNcludeS hyPersUrfacES bOUNDing volUMes in -dimenSiONal eUclidean spaces, Is deScrIBED by ThE thEory Of cAcciopPoLI seTs.