群的渐近锥面
Asymptotic cones of finitely presented groups
摘要：
设G是连通半单李群，至少有一个绝对单因子S，使得R-秩（S）至少为2，$Γ$是G中的一致格. (a)如果$CH$成立，则$Γ$有唯一的直到同胚的渐近锥面。(b)如果$CH$失败，则$Γ$具有直到同胚的$2^{2^ω}$渐近锥面。
英文摘要：
Let 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
