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Russian Dolls

Published online by Cambridge University Press:  20 November 2018

J. B. Wilker
J. B. Wilker*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ont. M5S 1A1
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In an earlier number of this Bulletin, P. Erdös [1] posed the following problem. “For each line ℓ of the plane, Aℓ is a segment of ℓ. Show that the set ∪ℓAℓ contains the sides of a triangle.” One objective of this paper is to prove a strengthened version of this result in iV-dimensions. As usual denotes the cardinality of the natural numbers and c, the cardinality of the real numbers.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 2 , 01 June 1978 , pp. 237 - 240
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. P. 236, this Bulletin 17 (1974) 620.Google Scholar
2. P. 236, this Bulletin 19 (1976) 124-125.Google Scholar