A quantitative program for Hadwiger's covering conjecture and Borsuk's partition conjecture
Metric Geometry
2010-07-14 v2 Number Theory
Abstract
In this article we encode Hadwiger's covering conjecture and Borsuk's partition conjecture into continuous functions defined on the spaces of convex bodies, propose a four-step program to approach them, and obtain some partial results.
Cite
@article{arxiv.0911.4580,
title = {A quantitative program for Hadwiger's covering conjecture and Borsuk's partition conjecture},
author = {Chuanming Zong},
journal= {arXiv preprint arXiv:0911.4580},
year = {2010}
}
Comments
17 pages, four figures