Cremaschi, Tommaso. “Hyperbolic 3-manifolds of infinite type”. PhD, Boston College, 2019. http://hdl.handle.net/2345/bc-ir:108468.
In this thesis we study the class of 3-manifolds that admit a compact exhaustion by hyperbolizable 3-manifolds with incompressible boundary and such that the genus of the boundary components of the elements in the exhaustion is uniformly bounded. For this class we give necessary and sufficient topological conditions that guarantee the existence of a complete hyperbolic metric.