论文标题
冯·诺伊曼·斯坦豪斯(Von Neumann-Steinhaus
Von Neumann-Steinhaus decomposition of parallelepipeds
论文作者
论文摘要
Steinhaus的一个问题是将真实行的有限间隔$ i划分为无限无限的许多成对分离集,因为每个集合都是固定集$ a $ a $的翻译,这是一致的。本文介绍了冯·诺伊曼(Von Neumann)对斯坦豪斯问题的解决方案,并将结果推广到$ \ mathbf {r}^n $中的并行牵引。
A problem of Steinhaus was to partition a finite interval $I$ of the real line into countably infinitely many pairwise disjoint sets that are congruent in the sense that each set is a translate of a fixed set $A$. This paper describes von Neumann's solution of the Steinhaus problem and generalizes the result to parallelepipeds in $\mathbf{R}^n$.