Andrea Sambusetti

collaborators

3 papers

math.MG2026

CAT(0) spaces quasi-isometric to Euclidean spaces

Nicola Cavallucci, Andrea Sambusetti

We show that if a proper, geodesically complete, CAT(0) homology manifold is quasi-isometric to the Euclidean space R^n then it is homeomorphic to R^n. On the other hand, we show t…

math.MG2024

Convergence and collapsing of CAT $(0)$ -lattices

Nicola Cavallucci, Andrea Sambusetti

We study the theory of convergence for CAT $(0)$ -lattices (that is groups $I^$ acting geometrically on proper, geodesically complete CAT $(0)$ -spaces) and their quotients (CAT $(0)$ -o…

math.GR2024

Finiteness of CAT(0) group actions

Nicola Cavallucci, Andrea Sambusetti

We prove some finiteness results for discrete isometry groups $I^$ of uniformly packed CAT $(0)$ -spaces $X$ with uniformly bounded codiameter (up to group isomorphism), and for CAT$…

CAT(0) spaces quasi-isometric to Euclidean spaces

Convergence and collapsing of CAT(0)-lattices

Finiteness of CAT(0) group actions

Convergence and collapsing of CAT $(0)$ -lattices