Abstract

We show that if a weakly type-preserving sequence of tame hyperbolic 3-manifolds converges strongly then the limit is tame. As a first corollary we observe that we can replace the assumption of strong convergence with algebraic convergence in most cases. As a second corollary we observe that given a finitely generated geometrically finite Kleinian group, tame groups are dense in the boundary of its quasiconformal deformation space in most cases.

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