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Touching Convex Sets in the Plane
Published online by Cambridge University Press: 20 November 2018
Abstract
Two subsets of the Euclidean plane touch each other if they have a point in common and there is a straight line separating one from the other.
It is shown that there exists a positive constant c such that if are families of plane convex sets with for some k ≥ 1 and if every touches every then either contains k members having nonempty intersection.
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- Research Article
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- Copyright © Canadian Mathematical Society 1994
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