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Tangles, property P, and a problem of J. Martin

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Publication:1057542
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DOI10.1007/BF01451402zbMath0563.57002OpenAlexW2094880863MaRDI QIDQ1057542

Steven A. Bleiler, Martin G. Scharlemann

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164050

zbMATH Keywords

band on a link


Mathematics Subject Classification ID


Related Items

Banding, twisted ribbon knots, and producing reducible manifolds via Dehn surgery, Union and tangle, Tunnel number and bridge number of composite genus 2 spatial graphs, A calculus for rational tangles: applications to DNA recombination, Unlinking Via Simultaneous Crossing Changes, On embeddings of 2-string tangles into the unknot, the unlink and split links, On nugatory crossings for knots, On unknotting operations of two-bridge knots



Cites Work

  • Unknotting number one knots are prime
  • Strongly invertible knots have property R
  • 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
  • On involutions of the 3-sphere
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