Axioms of affine buildings
Group Theory
2009-09-17 v1 Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0909.2967,
title = {Axioms of affine buildings},
author = {Petra N. Schwer},
journal= {arXiv preprint arXiv:0909.2967},
year = {2009}
}
Comments
14 pages, author's name changed from Hitzelberger to Schwer