论文标题
双曲线组边界的局部简单连接
Local simple connectedness of boundaries of hyperbolic groups
论文作者
论文摘要
在本文中，我们证明了一个定理，描述了双曲线群的边界的局部拓扑，从其全球拓扑来看：边界在局部仅在且仅当边界中任何点的互补都简单地连接时就在本地进行了连接。这概括了Bestvina和Mess的定理。
In this paper we prove a theorem describing the local topology of the boundary of a hyperbolic group in terms of its global topology: the boundary is locally simply connected if and only if the complement of any point in the boundary is simply connected. This generalises a theorem of Bestvina and Mess.
