论文标题
四个经典问题
Four classic problems
论文作者
论文摘要
在这项工作中，我们调查了四个经典问题：Borsuk的分区问题，Tarski的木板问题，对中心收缩下球联合的单调性的旋转问题以及Hadwiger-levi- levi问题，以通过其较小的积极的同型副本来覆盖凸形的身体。
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.
