2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67921Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that R-rank(S) is at least 2, and let $Γ$ be a uniform lattice in G. (a) If $CH$ holds, then $Γ$ has a unique asymptotic cone up to homeomorphism. (b) If $CH$ fails, then $Γ$ has $2^{2^ω}$ asymptotic cones up to homeomorphism.To appear in Advances in MathematicsGeometric TopologyGroup Theory20F65text