Non-simple links with tunnel number one
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- by Mario Eudave-Muñoz and Yoshiaki Uchida PDF
- Proc. Amer. Math. Soc. 124 (1996), 1567-1575 Request permission
Abstract:
We determine all non-simple links which admit an unknotting tunnel, i.e. links which contain an essential annulus or torus in its exterior and have tunnel number one.References
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Additional Information
- Mario Eudave-Muñoz
- Affiliation: Instituto de Matematicas, U.N.A.M. Circuito Exterior, Ciudad Universitaria, 04510 Mexico D. F. Mexico
- Address at time of publication: Department of Mathematics, University of Texas, Austin, Texas 78712
- Email: eudave@servidor.unam.mx
- Yoshiaki Uchida
- Affiliation: Department of Mathematics, Kobe University, Rokko, Kobe 657, Japan
- Address at time of publication: Department of Mathematical Sciences, Yamagata University, Yamagata 990, Japan
- Email: uchida@math.s.kobe-u.ac.jp, yuchida@kszaoh3.kj.yamagata-u.ac.jp
- Received by editor(s): May 5, 1994
- Additional Notes: The first author is grateful to the Osaka City University for its hospitality during the winter of 1993, where part of this work was done. The second author was partially supported by Grant-in-aid for Scientific Research, Ministry of Education, Science and Culture: A fellow of the Japan Society for the Promotion of Science for Japanese Junior Scientists
- Communicated by: Ronald J. Stern
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1567-1575
- MSC (1991): Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-96-03393-X
- MathSciNet review: 1328348