Completely stretched sets
Published online by Cambridge University Press: 24 October 2008
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
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 1 , January 1974 , pp. 37 - 43
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- Copyright © Cambridge Philosophical Society 1974
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