Kadets type theorems for partitions of a convex body
Combinatorics
2012-12-27 v2 Functional Analysis
Abstract
For convex partitions of a convex body we prove that we can put a homothetic copy of into each set of the partition so that the sum of homothety coefficients is . In the plane the partition may be arbitrary, while in higher dimensions we need certain restrictions on the partition.
Keywords
Cite
@article{arxiv.1106.5635,
title = {Kadets type theorems for partitions of a convex body},
author = {Arseniy Akopyan and Roman Karasev},
journal= {arXiv preprint arXiv:1106.5635},
year = {2012}
}