Dimension Independent Helly Theorem for Lines and Flats

08/21/2023

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by   Sutanoya Chakraborty, et al.

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We give a generalization of dimension independent Helly Theorem of Adiprasito, Bárány, Mustafa, and Terpai (Discrete Computational Geometry 2022) to higher dimensional transversal. We also prove some impossibility results that establish the tightness of our extension.