2009/09/16 by Petra Schwer, Schwer, Petra N.
Engineering · #FOS: Mathematics #Group Theory (math.GR) #Metric Geometry (math.MG) #Urban Design and Spatial Analysis
paper · pdf · doi:10.48550/arxiv.0909.2967
openalex publication_date 2009/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove equivalence of certain axiom sets for affine buildings. Along the lines a purely combinatorial proof of the existence of a spherical building at infinity is given. As a corollary we obtain that ``being an affine building'' is independent of the metric structure of the space.