Uniform cantor sets as hyperbolic boundaries

Yingqing Xiao, Junping Gu
2014 Filomat  
In this paper, we prove that the Gromov hyperbolic space (X, h) which was introduced by Z. Ibragimov and J. Simanyi in [3] is an asymptotically PT −1 space and extend the methods of [3] to the case of uniform Cantor sets, show that the uniform Cantor set is isometric to the Gromov hyperbolic boundary at infinity of some asymptotically PT −1 space.
doi:10.2298/fil1408737x fatcat:sunctoerpvhzzawheensph3yza