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math.MG2025
A note on the Steinitz Lemma
Gergely Ambrus, Rainie Heck
We establish the connection between the Steinitz problem for ordering vector families in arbitrary norms and its variant for not necessarily zero-sum families consisting of `nearly…
math.MG2025
Covering spiky annuli by planks
Gergely Ambrus, Julian Huddell, Maggie Lai +2
Answering Tarski's plank problem, Bang showed in 1951 that it is impossible to cover a convex body with by planks whose total width is less than…
math.MG2025
Large Signed Sums and the Polarization Constant of Convex Bodies
Gergely Ambrus, Florian Grundbacher
As a counterpart to classical vector balancing, we study large signed sums of unit vectors in finite-dimensional Minkowski spaces and develop their connection with polarization pro…