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.
Original language | English |
---|---|
Pages (from-to) | 265-267 |
Number of pages | 3 |
Journal | Canadian Mathematical Bulletin |
Volume | 46 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2003 Jun |
Keywords
- Dehn filling
- Klein bottle
- Reducible
ASJC Scopus subject areas
- General Mathematics