Tunnel number one knots satisfy the Poenaru conjecture

DOI10.1016/0166-8641(84)90013-0zbMath0592.57004OpenAlexW2125651768WikidataQ123262139 ScholiaQ123262139MaRDI QIDQ1075642

Martin G. Scharlemann

Publication date: 1984

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(84)90013-0

zbMATH Keywords

property Rdoubly primePL knot with tunnel number onePoenaru conjecture

Mathematics Subject Classification ID

Related Items

On composite tunnel number one links, Characterization of composite knots with 1-bridge genus two, Tunnel Numbers of Knots, Infinitely many roots of unity are zeros of some Jones polynomials, Characterization of tunnel number two knots which have the property ``\(2+1= 2\), Composite two-generator links, Dehn filling and the geometry of unknotting tunnels, Double branched covers of tunnel number one knots, On unknotting tunnels for knots, Non-simple links with tunnel number one, Examples of tunnel number one knots which have the property ‘1 + 1 = 3’, Composite tunnel number one genus two handlebody-knots, TWISTED TORUS KNOTS T(p, q; 3, s) ARE TUNNEL NUMBER ONE, Generalized Fibonacci groups \(H(r,n,s)\) that are connected labelled oriented graph groups, Tunnel number, 1-bridge genus and h-genus of knots, Two More Proofs that the Kinoshita Graph is Knotted, Two-Generator Cable Knots are Tunnel One, There are Knots whose Tunnel Numbers go down under Connected Sum, Heegaard splittings of twisted torus knots, Little big knots, The topology, geometry and algebra of unknotting tunnels, On Heegaard decompositions of torus knot exteriors and related Seifert fibre spaces, On the additivity of tunnel number of knots, On nonsimple 3-manifolds and 2-handle addition, ON CRITICAL HEEGAARD SPLITTINGS OF TUNNEL NUMBER TWO COMPOSITE KNOT EXTERIORS

Cites Work

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