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Helly Theorem and Related Results

By using the classical Helly theorem, one cannot obtain information about a family of convex compact sets in the n-dimensional Euclidean space if it is known that only subfamilies consisting of k elements, 0 < k ≤ n, have nonempty intersections. We modify the Helly theorem to fix this issue a...

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Bibliographic Details
Date:	2002
Main Authors:	Zelinskii, Yu. B., Зелинский, Ю. Б.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2002
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4045
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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