The curve complex and covers via hyperbolic 3-manifolds
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- Tang, R. Geom Dedicata (2012) 161: 233. doi:10.1007/s10711-012-9703-7
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Rafi and Schleimer recently proved that the natural relation between curve complexes induced by a covering map between two surfaces is a quasi-isometric embedding. We offer another proof of this result using a distance estimate via hyperbolic 3-manifolds.