RECTANGLE CONDITION FOR COMPRESSION BODIES AND 2-FOLD BRANCHED COVERINGS
2012 ◽
Vol 21
(08)
◽
pp. 1250078
Keyword(s):
We give the rectangle condition for strong irreducibility of Heegaard splittings of 3-manifolds with non-empty boundary. We apply this to a generalized Heegaard splitting of 2-fold covering of S3 branched along a link. The condition implies that any thin meridional level surface in the link complement is incompressible. We also show that the additivity of width holds for a composite knot satisfying the condition.
2010 ◽
Vol 149
(1)
◽
pp. 115-125
Keyword(s):
2018 ◽
Vol 27
(09)
◽
pp. 1842003
Keyword(s):
2019 ◽
Vol 28
(09)
◽
pp. 1950059
2013 ◽
Vol 22
(05)
◽
pp. 1350018
◽
1975 ◽
Vol 213
◽
pp. 315
◽
2013 ◽
Vol 22
(11)
◽
pp. 1350065
◽
Keyword(s):
1975 ◽
Vol 213
◽
pp. 315-315