Intersections of spherically convex sets |
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Authors: | L G Sharaburova Yu A Shashkin |
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Institution: | 1. Uralsk State University, USSR 2. Institute of Mathematics and Mechanics, UNTs, Academy of Sciences of the USSR, USSR
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Abstract: | 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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