Geodesic
Reducing Spheres and Klein Bottles after Dehn Fillings
Canadian mathematical bulletin, Tome 46 (2003) no. 2, pp. 265-267

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DOI

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.
DOI : 10.4153/CMB-2003-026-2
Mots-clés : 57M50, Dehn filling, reducible, Klein bottle 
Oh, Seungsang. Reducing Spheres and Klein Bottles after Dehn Fillings. Canadian mathematical bulletin, Tome 46 (2003) no. 2, pp. 265-267. doi: 10.4153/CMB-2003-026-2
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     title = {Reducing {Spheres} and {Klein} {Bottles} after {Dehn} {Fillings}},
     journal = {Canadian mathematical bulletin},
     pages = {265--267},
     year = {2003},
     volume = {46},
     number = {2},
     doi = {10.4153/CMB-2003-026-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-026-2/}
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