Honam Mathematical Journal (호남수학학술지)

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INVERTIBLE KNOT CONCORDANCES AND PRIME KNOTS

  • Kim, Se-Goo (Department of Mathematics, School of Science, Kyung Hee University)
  • Received : 2010.03.05
  • Accepted : 2010.03.15
  • Published : 2010.03.25
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Abstract

Silver and Whitten proved that every knot in $S^3$ is invertibly concordant to a hyperbolic knot by a series of Nakanishi's construction. We prove that every knot in $S^3$ is invertibly concordant to a nonhyperbolic prime knot by a simple one step satellite construction.

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References

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