Isoperimetric Inequalities and topological overlapping for quotients of Affine buildings · arXivDesk
1501.04940Jan 20, 201540 pages. Replacement of previous version which referred only to isoperimetric inequalities for 1-cochains (and not to topological overlapping)
Isoperimetric Inequalities and topological overlapping for quotients of Affine buildings
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.