Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A decomposition theorem for $ {\bf R}\sp n$

Author: Péter Komjáth
Journal: Proc. Amer. Math. Soc. 120 (1994), 921-927
MSC: Primary 04A20; Secondary 52C10
MathSciNet review: 1169038
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Abstract: $ {{\mathbf{R}}^n}$ is the union of countably many sets, none containing two points a rational distance apart.

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Article copyright: © Copyright 1994 American Mathematical Society