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arxiv: 1501.04940 · v3 · pith:53NMRWKWnew · submitted 2015-01-20 · 🧮 math.CO · math.GT

Isoperimetric Inequalities and topological overlapping for quotients of Affine buildings

classification 🧮 math.CO math.GT
keywords buildingsinequalitiesaffinedimensionalisoperimetricoverlappingprovequotients
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We prove isoperimetric inequalities for quotients of $n$-dimensional Affine buildings. We use these inequalities to prove topological overlapping for the 2-dimensional skeletons of these buildings.

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