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Reducing Spheres and Klein Bottles after Dehn Fillings
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $M$ be a compact, connected, orientable, irreducible 3-manifold with a torus boundary. It is known that if two Dehn fillings on $M$ along the boundary produce a reducible manifold and a manifold containing a Klein bottle, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.
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- Copyright © Canadian Mathematical Society 2003
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