Buildings have finite asymptotic dimension
Metric Geometry
2018-11-28 v3 Geometric Topology
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.
Cite
@article{arxiv.math/0703199,
title = {Buildings have finite asymptotic dimension},
author = {Jan Dymara and Thomas Schick},
journal= {arXiv preprint arXiv:math/0703199},
year = {2018}
}
Comments
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