# Sh:818

• Kramer, L., Shelah, S., Tent, K., & Thomas, S. (2005). Asymptotic cones of finitely presented groups. Adv. Math., 193(1), 142–173.
• Abstract:
Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that {\mathbb R}\text{-rank}(S) \geq 2 and let \Gamma be a uniform lattice in G.

(a) If CH holds, then \Gamma has a unique asymptotic cone up to homeomorphism.

(b) If CH fails, then \Gamma has 2^{2^{\omega}} asymptotic cones up to homeomorphism.

• published version (32p)
Bib entry
@article{Sh:818,
author = {Kramer, Linus and Shelah, Saharon and Tent, Katrin and Thomas, Simon},
title = {{Asymptotic cones of finitely presented groups}},
}