Additivity of Bridge Number of Knots

Details Additivity of Bridge Number of Knots Additivity of Bridge Number of Knots

2001-11-02

arxiv.org/abs/math/0111032v1

Mathematics

Geometric Topology

6 pages, 4 figures

Scientific paper

We provide a new proof of the following results of H. Schubert: If K is a satellite knot with companion J and pattern L that lies in a solid torus T in which it has index k, then the bridge numbers satisfy the following: 1) The bridge number of K is greater than or equal to the product of k and the bridge number of J; 2) If K is a composite knot (this is the case k = 1), then the bridge number of K is one less than the sum of the bridge numbers of J and L.

Affiliated with

Also associated with

No associations

Rating

Additivity of Bridge Number of Knots does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Additivity of Bridge Number of Knots, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Additivity of Bridge Number of Knots will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-481571