Hostname: page-component-8448b6f56d-dnltx Total loading time: 0 Render date: 2024-04-24T20:17:43.806Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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