TANGLE DECOMPOSITIONS OF TUNNEL NUMBER ONE KNOTS AND LINKS

DOI10.1142/S0218216595000193zbMath0841.57012OpenAlexW2107537020MaRDI QIDQ4851702

Cameron McA. Gordon, Alan W. Reid

Publication date: 25 July 1996

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216595000193

zbMATH Keywords

tunnel numberknots and linkstangle decomposition

Mathematics Subject Classification ID

Related Items (20)

TANGLE DECOMPOSITIONS OF DOUBLE TORUS KNOTS AND LINKS ⋮ SATELLITE KNOTS OF FREE GENUS ONE ⋮ Knots of tunnel number one and meridional tori ⋮ Double branched covers of tunnel number one knots ⋮ Infinitely many meridional essential surfaces of bounded genus in hyperbolic knot exteriors ⋮ Tunnel number degeneration under the connected sum of prime knots ⋮ Composite tunnel number one genus two handlebody-knots ⋮ Prime knot complements with meridional essential surfaces of arbitrarily high genus ⋮ Montesinos knots, Hopf plumbings, and L-space surgeries ⋮ Tunnel number and bridge number of composite genus 2 spatial graphs ⋮ CLOSED ESSENTIAL SURFACES AND WEAKLY REDUCIBLE HEEGAARD SPLITTINGS IN MANIFOLDS WITH BOUNDARY ⋮ Meridional destabilizing number of knots ⋮ Two More Proofs that the Kinoshita Graph is Knotted ⋮ Meridional surfaces and (1,1)-knots ⋮ Knots and surfaces ⋮ Closed incompressible surfaces in knot complements ⋮ 2-Component links with genus two Heegaard splittings ⋮ Thinning Genus Two Heegaard Spines in S³ ⋮ INCOMPRESSIBLE SURFACES AND (1, 1)-KNOTS ⋮ Levelling an unknotting tunnel

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