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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Band-sums are ribbon concordant
to the connected sum


Author: Katura Miyazaki
Journal: Proc. Amer. Math. Soc. 126 (1998), 3401-3406
MSC (1991): Primary 57M25; Secondary 57Q60
MathSciNet review: 1451821
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Abstract: We show that an arbitrary band-connected sum of two or more knots are ribbon concordant to the connected sum of these knots. As an application we consider which knot can be a nontrivial band-connected sum.


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Additional Information

Katura Miyazaki
Affiliation: Faculty of Engineering, Tokyo Denki University, 2-2 Kanda-Nishikicho, Tokyo 101, Japan
Email: miyazaki@cck.dendai.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04352-4
PII: S 0002-9939(98)04352-4
Keywords: Band-connected sum, concordance, ribbon concordance, fibered knot
Received by editor(s): November 12, 1996
Received by editor(s) in revised form: February 12, 1997
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 1998 American Mathematical Society