On the Asphericity of Ribbon Disc Complements

DOI10.2307/1999700zbMath0572.57001OpenAlexW4243845785MaRDI QIDQ3689888

James Howie

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999700

zbMATH Keywords

ribbon disc complementsWhitehead conjectureasphericity of 2-complexes

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Fundamental group, presentations, free differential calculus (57M05)

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Cites Work

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• Some remarks on a problem of J. H. C. Whitehead
• Homological and topological properties of locally indicable groups
• Conservative groups, indicability, and a conjecture of Howie
• Some finitely presented groups of cohomological dimension two with property (FA)
• Aspherical group presentations
• Ribbon concordance of knots in the 3-sphere
• Ribbon knots and ribbon disks
• On locally indicable groups
• Surfaces in three-manifolds and non-singular equations in groups
• Combinatorial isomorphisms and combinatorial homotopy equivalences
• The geometry of the slice-ribbon problem
• Ribbon Knots in S ₄
• Free Groups and Handlebodies
• A Finitely Generated Infinite Simple Group
• A New Proof of a Theorem of W. H. Cockcroft

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