A Valuation-Theoretic Approach to Translative-Equidecomposability
Metric Geometry
2015-07-07 v1
Abstract
All simple translation-invariant valuations on polytopes are classified. As a direct consequence the well-known conditions for translative-equidecomposability are recovered. Furthermore, a simplified proof of the classification of continuous simple translation-invariant valuations is presented.
Keywords
Cite
@article{arxiv.1507.01227,
title = {A Valuation-Theoretic Approach to Translative-Equidecomposability},
author = {Katharina Kusejko and Lukas Parapatits},
journal= {arXiv preprint arXiv:1507.01227},
year = {2015}
}