论文标题
双曲空间的树木
Trees of hyperbolic spaces
论文作者
论文摘要
我们为树木双曲线空间的BESTVINA(Feighn组合定理)提供了替代证明,并描述了此类空间中均匀的准化学。作为其中的一种,我们证明存在thurston的大炮地图,用于包含双曲线空间子树总空间的包含图。
We give an alternative proof of the Bestvina--Feighn combination theorem for trees hyperbolic spaces and describe uniform quasigeodesics in such spaces. As one of the applications, we prove the existence of Cannon-Thurston maps for inclusion maps of total spaces of subtrees of hyperbolic spaces.