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Homotopy of Knots and the Alexander Polynomial

Published online by Cambridge University Press:  20 November 2018

David Austin  and
Dale Rolfsen
David Austin
Affiliation:
Department of Mathematics University of British Columbia Vancouver, British Columbia V6T 1Z2, email: daustin@math.ubc.ca
Dale Rolfsen
Affiliation:
Department of Mathematics University of British Columbia Vancouver, British Columbia V6T 1Z2, email: rolfsen@math.ubc.ca
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Abstract

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Any knot in a 3-dimensional homology sphere is homotopic to a knot with trivial Alexander polynomial.

Keywords

57N1057M0557M2557N65
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 3 , 01 September 1999 , pp. 257 - 262
Copyright
Copyright © Canadian Mathematical Society 1999

References

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