26 citations · 63 across the 24 of their papers we have counts for
27 papers
Additive quasi-isometries and cacti
Panos Papasoglu, Eric Swenson
We prove that if a geodesic metric space contains no -fat theta curve for some , then it is -quasi-isometric to a cactus graph, where depends only on . Using…
Asymptotic dimension of 3-dimensional CAT(0) manifolds
Panos Papasoglu, Eric Swenson
We prove that every -manifold equipped with a proper metric admitting a convex geodesic bicombing has Assouad--Nagata dimension at most . In particular, every proper CAT…
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…
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…
A coarse-geometry characterization of cacti
Koji Fujiwara, Panos Papasoglu
We give a quasi-isometric characterization of cacti, which is similar to Manning's characterization of quasi-trees by the bottleneck property. We also give another quasi-isometric…
Graph minors and metric spaces
Agelos Georgakopoulos, Panos Papasoglu
We present problems and results that combine graph-minors and coarse geometry. For example, we ask whether every geodesic metric space (or graph) without a fat minor is quasi-i…