Extensions of Curvature Measures to Larger Set Classes

Autor: Martina Zähle, Jan Rataj
Rok vydání: 2019
Předmět:
Zdroj: Springer Monographs in Mathematics ISBN: 9783030181826
DOI: 10.1007/978-3-030-18183-3_9
Popis: So far we have introduced curvature measures for sets with positive reach and their locally finite unions (such that any finite intersection has positive reach). This setting is still not satisfactory since it does not encompass some natural set classes as closures of complements to convex bodies, or boundaries of convex bodies, though these sets should apparently admit a natural definition of curvatures.
Databáze: OpenAIRE