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math.MG2025
1-Uryson width and covers
Hannah Alpert, Arka Banerjee, Panos Papasoglu
We investigate the following question: Do there exist Riemannian polyhedra such that the 1-Uryson width of their universal covers is bounded but…
math.MG2025
Minimal tetrahedra and an isoperimetric gap theorem in non-positive curvature
Cornelia Druţu, Urs Lang, Panos Papasoglu +1
We investigate isoperimetric inequalities for Lipschitz 2-spheres in CAT(0) spaces, proving bounds on the volume of efficient null-homotopies. In one dimension lower, it is known t…