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Partitioning Euclidean space

Published online by Cambridge University Press:  24 October 2008

Kenneth Kunen
Kenneth Kunen
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, WI 53706, U.S.A.
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Extract

R denotes the set of real numbers. For any finite n, Rn denotes n-dimensional space with the usual (Hilbert space) metric, d.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 102 , Issue 3 , November 1987 , pp. 379 - 383
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

REFERENCES

[1]Davies, R. O.. Partitioning the plane into denumerably many sets without repeated distances. Proc. Cambridge Philos. Soc. 72 (1972), 179–183.CrossRefGoogle Scholar
[2]Erdös, P. and Kakutani, S.. On non-denumerable graphs. Bull. Amer. Math. Soc. 49 (1943), 457–461.CrossRefGoogle Scholar