Intersections of spherically convex sets
Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 781-791.

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New theorems of Helly type are proved concerning the intersection of convex cones with a common vertex or, equivalently, the intersection of sets on a sphere which are convex in the sense of Robinson. The proofs of these theorems are based on a lemma which is a spherical analog and generalization of Radon's theorem.
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     author = {L. G. Sharaburova and Yu. A. Shashkin},
     title = {Intersections of spherically convex sets},
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L. G. Sharaburova; Yu. A. Shashkin. Intersections of spherically convex sets. Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 781-791. http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a14/