Extensions of translation invariant valuations on polytopes
classification
🧮 math.MG
keywords
convexvaluationsbodiesinvariantmeasurespolytopespropertiestranslation
read the original abstract
We study translation invariant, real-valued valuations on the class of convex polytopes in Euclidean space and discuss which continuity properties are sufficient for an extension of such valuations to all convex bodies. For this purpose, we introduce flag support measures of convex bodies via a local Steiner formula and derive some of the properties of these measures.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.