The tunnel number of the sum of \(n\) knots is at least \(n\)
From MaRDI portal
Publication:1292679
DOI10.1016/S0040-9383(98)00002-0zbMath0929.57003arXivmath/9902008MaRDI QIDQ1292679
Jennifer Schultens, Martin G. Scharlemann
Publication date: 23 January 2000
Published in: Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9902008
Related Items
Tunnel Numbers of Knots ⋮ Tunnel number degeneration under the connected sum of prime knots ⋮ Hyperbolicity of the canonical genus two knots ⋮ An integral invariant from the knot group ⋮ Some sufficient conditions for tunnel numbers of connected sum of two knots not to go down ⋮ The amalgamation of high distance Heegaard splittings along tori ⋮ HEEGAARD GENERA OF ANNULAR 3-MANIFOLDS ⋮ An algorithm to determine the Heegaard genus of simple 3-manifolds with nonempty boundary ⋮ Tunnel number and bridge number of composite genus 2 spatial graphs ⋮ The tunnel number and the cutting number with constituent handlebody-knots ⋮ Meridional destabilizing number of knots ⋮ Rank and genus of 3-manifolds ⋮ Heegaard genera of high distance are additive under annulus sum ⋮ On the tunnel number and the Morse-Novikov number of knots ⋮ Two More Proofs that the Kinoshita Graph is Knotted ⋮ Examples of amalgamated products. ⋮ On the degeneration of tunnel numbers under a connected sum ⋮ Additive invariants for knots, links and graphs in 3-manifolds ⋮ Some results on Heegaard splitting ⋮ Tunnel number one knots, 𝑚-small knots and the Morimoto conjecture ⋮ Comparing Heegaard and JSJ structures of orientable 3-manifolds