INVERTIBLE KNOT CONCORDANCES AND PRIME KNOTS

• Journal title : Honam Mathematical Journal
• Volume 32, Issue 1,  2010, pp.157-165
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2010.32.1.157
Title & Authors
INVERTIBLE KNOT CONCORDANCES AND PRIME KNOTS
Kim, Se-Goo;

Abstract
Silver and Whitten proved that every knot in $\small{S^3}$ is invertibly concordant to a hyperbolic knot by a series of Nakanishi's construction. We prove that every knot in $\small{S^3}$ is invertibly concordant to a nonhyperbolic prime knot by a simple one step satellite construction.
Keywords
Invertible knot concordance;Prime knots;Satellite construction;
Language
English
Cited by
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