Dimension Independent Helly Theorem for Lines and Flats

Sutanoya Chakraborty, Arijit Ghosh, Soumi Nandi

Abstract: We give a generalization of dimension independent Helly Theorem of Adiprasito, B\'{a}r\'{a}ny, Mustafa, and Terpai (Discrete & Computational Geometry 2022) to higher dimensional transversal. We also prove some impossibility results that establish the tightness of our extension.