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ISOMETRIC DECOMPOSITIONS

By Michael Edelstein

Abstract

The study of decompositions of sets in U n, n ^ 1, into disjoint, mutually isometric subsets has a long and distinguished history. In 1928 J. von Neumann [2] proved that an interval in U n (with or without endpoints) is decomposable into Ko disjoint sets which are mutually isometric under translations. In 1951 W. Gustin [1] proved tha

Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.135.6777
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