Curvature measures, normal cycles and asymptotic cones
The purpose of this article is to give an overview of the theory of the and to show how to use it to define a on singular surfaces embedded in an (oriented) Euclidean space . In particular, we will introduce the notion of associated to a Borel subset of , generalizing the defined at each point of a smooth surface. For simplicity, we restrict our singular subsets to polyhedra of the -dimensional Euclidean space . The coherence of the theory lies in a convergence theorem: If a sequence of...