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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Shi, The algebraic structure of finitely generated [L.sup.0](F,K)-modules and the Helly theorem in random normed modules, J.
Proofs of the Helly theorems can be found in [7, Sec.
Now we show that making use of Lemma 3.1 and the Helly theorems it is possible to get a spectral function and the Parseval equality for problem (1.1), (1.2).