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Knot Theory and Manifolds pp 1–13Cite as

Prime tangles and composite knots

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1144))

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References

  1. S.A. Bleiler, Knots Prime on Many Strings, preprint, to appear in TAMS.

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  2. J.H. Conway, An Enumeration of Knots and Links, Computational Problems in Abstract Algebra, Pergamon Press, Oxford and New York, 1969, 329–358.

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  3. R.H. Fox, A Quick Trip Through Knot Theory, Topology of 3-Manifolds and Related Topics, (Proc., The University of Georgia Institute, 1961), Prentice-Hall, Englewoods Cliffs, New Jersey, 1962, 120–167.

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  4. C. McA. Gordon, Problems in Knot Theory, Proceedings Plans-sur-Bex, 1977, LNM vol. 685, Springer-Verlag, Berlin and New York, 1978, 309–311.

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  5. C. McA. Gordon and R.A. Litherland, Incompressible Planar Surfaces in 3-Manifolds, preprint.

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  6. P. Kim and J. Tollefson, Splitting the PL Involutions on Non-prime 3-Manifolds, Michigan Math. J., 27 (1980), 259–274.

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  7. W.B.R. Lickorish, Prime Knots and Tangles, TAMS, vol. 267, #1, 1981, 321–332.

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  9. H. Seifert, Topologie dreidimensionater gefaserter Raume, Acta Math., 60(1933), 147–238.

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Authors and Affiliations

  1. University of Utah, 84112, Salt Lake City, UT

    Steven A. Bleiler

  2. Department of Mathematics, The University of Texas, 78712, Austin, Texas

    Steven A. Bleiler

Authors
  1. Steven A. Bleiler
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Dale Rolfsen

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© 1985 Springer-Verlag

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Bleiler, S.A. (1985). Prime tangles and composite knots. In: Rolfsen, D. (eds) Knot Theory and Manifolds. Lecture Notes in Mathematics, vol 1144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075008

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  • DOI: https://doi.org/10.1007/BFb0075008

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15680-2

  • Online ISBN: 978-3-540-39616-1

  • eBook Packages: Springer Book Archive

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