Axioms of affine buildings
classification
🧮 math.GR
math.MG
keywords
affinebuildingbuildingsalongaxiomaxiomscertaincombinatorial
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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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