On the tunnel number and the Morse-Novikov number of knots

Details On the tunnel number and the Morse-Novikov number of knots On the tunnel number and the Morse-Novikov number of knots

2008-11-14

arxiv.org/abs/0811.2254v2

Mathematics

Geometric Topology

8 pages, revised and extended

Scientific paper

We prove that the Morse-Novikov number of a link L in a 3-sphere is less than
or equal to twice the tunnel number of L.

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