On the additivity of tunnel number of knots

DOI10.1016/0166-8641(93)90099-YzbMath0816.57004MaRDI QIDQ1313922

Kanji Morimoto

Publication date: 10 March 1994

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

zbMATH Keywords

connected sumtunnel numberadditivitynontrivial knots

Mathematics Subject Classification ID

Related Items

Connected sums of knots and weakly reducible Heegaard splittings, Characterization of composite knots with 1-bridge genus two, Tunnel Numbers of Knots, Characterization of tunnel number two knots which have the property ``\(2+1= 2\), Tunnel number degeneration under the connected sum of prime knots, Some sufficient conditions for tunnel numbers of connected sum of two knots not to go down, Examples of tunnel number one knots which have the property ‘1 + 1 = 3’, Composite tunnel number one genus two handlebody-knots, The tunnel number and the cutting number with constituent handlebody-knots, Meridional destabilizing number of knots, Tunnel number, 1-bridge genus and h-genus of knots, On the tunnel number and the Morse-Novikov number of knots, There are Knots whose Tunnel Numbers go down under Connected Sum, On composite types of tunnel number two knots, Tunnel number one knots, 𝑚-small knots and the Morimoto conjecture

Cites Work

• On Haken's theorem and its extension
• On unknotting tunnels for knots
• Non-separating incompressible tori in 3-manifolds
• Structures of the Haken manifolds with Heegaard splittings of genus two
• Tunnel number one knots satisfy the Poenaru conjecture
• Every Two-Generator Knot is Prime
• There are Knots whose Tunnel Numbers go down under Connected Sum
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