Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that ℝ-rank(S) ≥ 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 22ω asymptoticones up to homeomorphism.
All Science Journal Classification (ASJC) codes
- Affine buildings
- Asymptotic cone
- Finitely presented groups