Theorems of Carathéodory, Helly, and Tverberg without dimension

International audienceMotivated by Barman, we initiate a systematic study of the ‘no-dimensional’ analogues of some basic theorems in combinatorial and convex geometry, including the colorful Carathéodory's theorem, Tverberg's theorem, Helly's theorem as well as their fractional and colorful extensions.Read More: https://epubs.siam.org/doi/abs/10.1137/1.9781611975482.143?mobileUi=