Bull. Korean Math. Soc. 2009; 46(5): 1019-1029
Printed September 1, 2009
https://doi.org/10.4134/BKMS.2009.46.5.1019
Copyright © The Korean Mathematical Society.
Sungbok Hong and Heoung Sook Kim
Korea University and Korea University
We show that every bridge surface of certain types of $(1,1)$ prime knot has the disjoint curve property. Also we determine when a bridge surface of a pretzel knot of type $(-2,3,n)$ has the disjoint curve property.
Keywords: disjoint curve property, bridge surface, $(1,1)$-knot, Heegaard splitting
MSC numbers: Primary 57M99; Secondary 57M27, 57N10
2009; 46(1): 99-105
2018; 55(3): 699-715
2017; 54(5): 1851-1857
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