Geometric limits of knot complements. II: Graphs determined by their complements. (English) Zbl 1282.57020
Summary: We prove that there are compact submanifolds of the 3-sphere whose interiors are not homeomorphic to any geometric limit of hyperbolic knot complements.
MSC:
| 57M50 | General geometric structures on low-dimensional manifolds |
| 57M25 | Knots and links in the \(3\)-sphere (MSC2010) |
| 30F40 | Kleinian groups (aspects of compact Riemann surfaces and uniformization) |
| 37F40 | Geometric limits in holomorphic dynamics |
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