论文标题
Cantor设置的双曲线限制在球中补充
Hyperbolic limits of Cantor set complements in the sphere
论文作者
论文摘要
令$ m $为双曲线3个manifold，没有排名两个尖头，承认嵌入$ \ mathbb s^3 $。然后，如果$ m $承认$π_1$ - 插入的子手法的精疲力尽，存在cantor sets $ c_n \ subset \ subset \ mathbb s^3 $，这样$ n_n = \ mathbb s^3 \ setminus c_n $是多重和$ n_n \ n_n \ rightarrow m $ $ $ $ $。
Let $M$ be a hyperbolic 3-manifold with no rank two cusps admitting an embedding in $\mathbb S^3$. Then, if $M$ admits an exhaustion by $π_1$-injective sub-manifolds there exists cantor sets $C_n\subset \mathbb S^3$ such that $N_n=\mathbb S^3\setminus C_n$ is hyperbolic and $N_n\rightarrow M$ geometrically.
