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Von Neumann-Steinhaus decomposition of parallelepipeds

Melvyn B. Nathanson
Nov 2023
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摘要原文
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 $\mathbf{R}^n$.
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