Asymptotic cones of finitely presented groups

@article{Kramer2003AsymptoticCO,
  title={Asymptotic cones of finitely presented groups},
  author={L. Kramer and S. Shelah and K. Tent and Simon Thomas},
  journal={Advances in Mathematics},
  year={2003},
  volume={193},
  pages={142-173}
}
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 asymptotic cones up to homeomorphism. 
Fundamental groups of asymptotic cones
Finitely presented groups with infinitely many non-homeomorphic asymptotic cones
A Finitely Presented Group with Two Non-Homeomorphic asymptotic Cones
Universal Tree-Graded Spaces and asymptotic Cones
GEOMETRY OF QUASI-PLANES
...
1
2
3
4
5
...