Buildings have finite asymptotic dimension

Details Buildings have finite asymptotic dimension Buildings have finite asymptotic dimension

2007-03-07

arxiv.org/abs/math/0703199v3

Russian Journal of Mathematical Physics, vol. 16 (2009), no. 3, pp. 409-412

Mathematics

Metric Geometry

4 pages; v2: typos corrected, to appear in Russian Journal of Mathematical Physics, special issue in honour of Nicolai Teleman

Scientific paper

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.

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