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Synchronism of an incompressible non-free Seifert surface for a knot and
an algebraically split closed incompressible surface in the knot complement

Author: Makoto Ozawa
Journal: Proc. Amer. Math. Soc. 128 (2000), 919-922
MSC (1991): Primary 57M25
Published electronically: May 6, 1999
MathSciNet review: 1626470
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Abstract: We give a necessary and sufficient condition for knots to bound incompressible non-free Seifert surfaces.

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Additional Information

Makoto Ozawa
Affiliation: Department of Science, School of Education, Waseda University, 1-6-1 Nishiwaseda, Shinjuku-ku, Tokyo 169-8050, Japan

Keywords: Seifert surface, closed incompressible surface
Received by editor(s): June 18, 1997
Received by editor(s) in revised form: May 4, 1998
Published electronically: May 6, 1999
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 1999 American Mathematical Society

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