Bull. Korean Math. Soc. 2015; 52(3): 735-740
Printed May 31, 2015
https://doi.org/10.4134/BKMS.2015.52.3.735
Copyright © The Korean Mathematical Society.
Ayako Ido
Aichi University of Education
Tomova \cite{T} gave an upper bound for the distance of a bridge surface for a knot with two different bridge positions in a 3-manifold. In this paper, we show that the result of Tomova \cite[Theorem 10.3]{T} can be improved in the case when there are two different bridge spheres for a link in $S^3$.
Keywords: Heegaard splitting, bridge decomposition, distance
MSC numbers: 57M27
2013; 50(6): 1989-2000
2018; 55(3): 699-715
2017; 54(5): 1851-1857
2009; 46(1): 99-105
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd