@article{f9c08c81d8c04e848dd807ecbe4a52db,
title = "Asymptotic cones of finitely presented groups",
abstract = "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.",
keywords = "Affine buildings, Asymptotic cone, Finitely presented groups",
author = "Linus Kramer and Saharon Shelah and Katrin Tent and Simon Thomas",
note = "Funding Information: $The research of L.K. and K.T. was supported by Heisenberg Fellowships of the DFG. The research of S.S. was supported by the Israel Science Foundation. This paper is number 818 in the cumulative list of the S.S.{\textquoteright}s publications. The research of S.T. was partially supported by NSF Grants. ·Corresponding author. E-mail addresses: kramer@mathematik.tu-darmstadt.de (L. Kramer), shelah@math.huji.ac.il (S. Shelah), tent@mathematik.uni-wuerzburg.de (K. Tent), sthomas@math.rutgers.edu (S. Thomas).",
year = "2005",
month = may,
day = "1",
doi = "10.1016/j.aim.2004.04.012",
language = "English (US)",
volume = "193",
pages = "142--173",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
number = "1",
}