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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Two Helly type theorems


Author: Krzysztof Kołodziejczyk
Journal: Proc. Amer. Math. Soc. 90 (1984), 412-414
MSC: Primary 52A35
MathSciNet review: 728359
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Abstract: Two Helly type theorems for convex sets containing $ k$-dimensional half-flats are established, one of them being an extension of Katchalski's theorem [3] where the case $ k = 1$ was considered.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0728359-7
Keywords: Convex set, $ k$-dimensional half-flat, Helly's theorem
Article copyright: © Copyright 1984 American Mathematical Society