Characterization of tunnel number two knots which have the property ``\(2+1= 2\)

DOI10.1016/0166-8641(94)00096-LzbMath0827.57002MaRDI QIDQ1896629

Kanji Morimoto

Publication date: 18 October 1995

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

zbMATH Keywords

connected sumknot types of tunnel number two knots

Mathematics Subject Classification ID

Related Items (9)

Characterization of composite knots with 1-bridge genus two ⋮ Tunnel Numbers of Knots ⋮ An integral invariant from the knot group ⋮ On Heegaard splittings of knot exteriors with tunnel number degenerations ⋮ Composite tunnel number one genus two handlebody-knots ⋮ Tunnel number, 1-bridge genus and h-genus of knots ⋮ There are Knots whose Tunnel Numbers go down under Connected Sum ⋮ Destabilizing Heegaard splittings of knot exteriors ⋮ On composite types of tunnel number two knots

Cites Work

• On unknotting tunnels for knots
• Tunnel number one knots satisfy the Poenaru conjecture
• On primitive sets of loops in the boundary of a handlebody
• On the additivity of tunnel number of knots
• A CONSTRUCTION OF ARBITRARILY HIGH DEGENERATION OF TUNNEL NUMBERS OF KNOTS UNDER CONNECTED SUM
• Every Two-Generator Knot is Prime
• There are Knots whose Tunnel Numbers go down under Connected Sum
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