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Tameness persists in weakly type-preserving strong limits
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 126, Number 4, August 2004
- pp. 713-737
- 10.1353/ajm.2004.0028
- Article
- Additional Information
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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.