The dimension of intersections of convex sets II |
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| Authors: | Meir Katchalski |
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| Affiliation: | 1. The University of Alberta, Edmonton, Alberta, Canada
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| Abstract: | The subject of this paper is a Helly type theorem which solves the following problem: Find the smallest number β= β(j,k,n) having the following property: IfG is any finite family ofβ + 1 convex sets in Euclideann-space and if the intersection of everyβ members ofG is at leastk-dimensional, then the intersection of all members ofG is at leastj-dimensional. |
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