Bridge number and tangle products
Por Camilo Arcaya • 31 may, 2022 • Sección: AmbienteRyan Blair
We show that essential punctured spheres in the complement of links with distance three bridge spheres have bounded complexity. We define the operation of tangle product, a generalization of both connected sum and Conway product. Finally, we use the bounded complexity of essential punctured spheres to show that the bridge number of a tangle product is at least the sum of the bridge numbers of the two factor links up to a constant error.
arXiv:1108.5640v1 [math.GT]
Geometric Topology (math.GT)
