On the boundary of a special class of hyperbolic two-dimensional implicial complexes

摘要

A class of hyperbolic two-dimensional complexes X is defined.It is shown that the limit set of the action of π1(X) on the universal covering X of X is equal to the visual boundary X of and that X is path connected and locally path connected. A kind of Sierpinski set is described which is homeomorphic to the visual boundary of certain ideal polyhedra.