Axioms of affine buildings

Mathematics – Group Theory

Scientific paper

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14 pages, author's name changed from Hitzelberger to Schwer

Scientific paper

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.

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