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On bridge numbers of composite ribbon knots
by
Toshifumi Tanaka
Graduate School of Mathematics, Kyushu University
Bleiler and Eudave-Muñoz showed that composite ribbon number one knots have two-bridge summands. We show that there exists an infinite family of composite ribbon number one knots which have arbitrary large bridge numbers. If K is a two-bridge knot, then K#-K! is ribbon number one knot. Conversely, we show that if K0 and K1 are knots which are minimal with respect to ribbon concordance and K0#K1 is a ribbon number one knot, then K0 is equivalent to -K1!.
Date received: January 6, 2000
Copyright © 2000 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caea-03.