Axioms of affine buildings
arXiv:0909.2967
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.
14 pages, author's name changed from Hitzelberger to Schwer