Helly's theorem


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Helly's theorem

[′hel·ēz ‚thir·əm]
(mathematics)
The theorem that there is a point that belongs to each member of a collection of bounded closed convex sets in an n-dimensional Euclidean space if the collection has at least n + 1 members and any n + 1 members of the collection have a common point.
References in periodicals archive ?
By Helly's Theorem, there exists a weak-star limit [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] along some subsequence [LAMBDA] [subset] N.