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.
|Number of pages||3|
|Journal||Canadian Mathematical Bulletin|
|Publication status||Published - 2003 Jun|
- Dehn filling
- Klein bottle
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