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Completely stretched sets

Published online by Cambridge University Press:  24 October 2008

J. N. Lillington
J. N. Lillington
Affiliation:
Royal Holloway College
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Extract

Introduction. All the sets X considered in this paper will be compact convex subsets of the Euclidean plane R. We shall require the following definitions. For x, y, z ∈ R let L(x, y, x) denote the minimum of all the lengths of all connected sets containing x, y and z. Define the stretch of x with respect to X to be

and the stretch of X to be

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 1 , January 1974 , pp. 37 - 43
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

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