Geodesic
A Helly type Theorem for Convex Sets
Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 121-123

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Katchalski, Meir. A Helly type Theorem for Convex Sets. Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 121-123. doi: 10.4153/CMB-1978-021-5
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