Asymptotic cones of finitely presented groups

by Kramer and Shelah and Tent and Thomas. [KShTS:818]
Advances in Math, 2005
Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that R-rank(S) >= 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.

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