Asymptotic cones of finitely presented groups

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dc.creatorKramer, Linus
dc.creatorShelah, Saharon
dc.creatorTent, Katrin
dc.creatorThomas, Simon
dc.date2003-06-30
dc.date2004-04-26
dc.date.accessioned2026-07-07T04:59:17Z
dc.date.available2026-07-07T04:59:17Z
dc.descriptionLet G be a connected semisimple Lie group with at least one absolutely simple factor S such that R-rank(S) is at least 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 $2^{2^ω}$ asymptotic cones up to homeomorphism.
dc.descriptionTo appear in Advances in Mathematics
dc.identifierhttps://arxiv.org/abs/math/0306420
dc.identifierhttp://arxiv.org/abs/math/0306420
dc.identifierAdv. Math. 193 No. 1 (2005) 142--173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67921
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject20F65
dc.titleAsymptotic cones of finitely presented groups
dc.typetext

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