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Dehn filling, reducible 3-manifolds, and Klein bottles
Author(s):
Seungsang
Oh
Journal:
Proc. Amer. Math. Soc.
126
(1998),
289-296.
MSC (1991):
Primary 57M25, 57M99, 57N10
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Abstract:
Let  be a compact, connected, orientable, irreducible 3-manifold whose boundary is a torus. We announce that if two Dehn fillings create reducible manifold and manifold containing Klein bottle, then the maximal distance is three.
References:
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Additional Information:
Seungsang
Oh
Affiliation:
Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
Address at time of publication:
Department of Mathematics, KAIST, 373-1 Kusungdong Yusunggu, Taejeon, Korea 305-701
Email:
soh@math.utexas.edu
DOI:
10.1090/S0002-9939-98-03978-1
PII:
S 0002-9939(98)03978-1
Keywords:
Dehn filling,
reducible,
Klein bottle,
3-manifold
Received by editor(s):
April 8, 1996
Received by editor(s) in revised form:
May 31, 1996
Communicated by:
Ronald Fintushel
Copyright of article:
Copyright
1998,
American Mathematical Society
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