English

Affine invariant valuations on polytopes

Metric Geometry 2019-10-08 v2

Abstract

A classification of SL(n)(n) invariant valuations on the space of convex polytopes in RnR^n without any continuity assumptions is established. A corresponding result is obtained on the space of convex polytopes in RnR^n that contain the origin.

Keywords

Cite

@article{arxiv.1511.07674,
  title  = {Affine invariant valuations on polytopes},
  author = {Monika Ludwig and Matthias Reitzner},
  journal= {arXiv preprint arXiv:1511.07674},
  year   = {2019}
}
R2 v1 2026-06-22T11:53:08.175Z