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A Helly type Theorem for Convex Sets
Published online by Cambridge University Press: 20 November 2018
Abstract
A ray in Euclidean n-dimensional space Rn is a set of the form {a + λb: λ≥ 0 } where a and b are fixed points in Rn and b≠0.
The subject of this paper is a Helly type theorem for convex sets in Rn.
If is a finite family of at least 2n convex sets in Rn and if theintersection of any 2n members of contains a ray then containsa ray.
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- Copyright © Canadian Mathematical Society 1978
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