Buildings have finite asymptotic dimension
arXiv:math/0703199 · doi:10.1134/S1061920809030091
Abstract
In this note, we show that the asymptotic dimension of any building is finite and equal to the asymptotic dimension of an apartment in that building.
4 pages; v2: typos corrected, to appear in Russian Journal of Mathematical Physics, special issue in honour of Nicolai Teleman v3: minor confusions of geometric/combinatorial aspects clarified