Four classic problems
Metric Geometry
2022-02-22 v1
Abstract
In this work we survey four classic problems: Borsuk's partition problem, Tarski's plank problem, the Kneser--Poulsen problem on the monotonicity of the union of balls under a contraction of their centers, and the Hadwiger--Levi problem on covering convex bodies by their smaller positively homothetic copies.
Keywords
Cite
@article{arxiv.2202.09863,
title = {Four classic problems},
author = {Gábor Fejes Tóth and Włodzimierz. Kuperberg},
journal= {arXiv preprint arXiv:2202.09863},
year = {2022}
}