Composite Ribbon Number One Knots have Two-Bridge Summands

DOI10.2307/2001599zbMath0703.57006OpenAlexW4213439073MaRDI QIDQ3482558

Mario Eudave-Muñoz, Steven A. Bleiler

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001599

zbMATH Keywords

ribbon knotbridge composite

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Related Items (3)

Banding, twisted ribbon knots, and producing reducible manifolds via Dehn surgery ⋮ On the symmetry of composite ribbon knots ⋮ Critical point counts in knot cobordisms: abelian and metacyclic invariants

Cites Work

• Unknotting number one knots are prime
• A projective plane in \({\mathbb{R}}^ 4\) with three critical points is standard. Strongly invertible knots have property P
• Smooth spheres in \({\mathbb{R}}^ 4\) with four critical points are standard
• Dehn surgery on knots

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