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Proceedings of the American Mathematical Society

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Simple knots which are doubly-null-cobordant


Author: C. Kearton
Journal: Proc. Amer. Math. Soc. 52 (1975), 471-472
MSC: Primary 57C45
DOI: https://doi.org/10.1090/S0002-9939-1975-0380817-8
MathSciNet review: 0380817
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Abstract | References | Similar Articles | Additional Information

Abstract: Using the Seifert matrix, a necessary and sufficient condition is given for a simple $ (2q - 1)$-knot, $ q > 1$, to be doubly-null-cobordant.


References [Enhancements On Off] (What's this?)

  • [1] Jerome Levine, Unknotting spheres in codimension two, Topology 4 (1965), 9-16. MR 31 #4045. MR 0179803 (31:4045)
  • [2] -, An algebraic classification of some knots of codimension two, Comment. Math. Helv. 45 (1970), 185-198. MR 42 #1133. MR 0266226 (42:1133)
  • [3] D. W. Sumners, Invertible knot cobordisms, Comment. Math. Helv. 46 (1971), 240-256. MR 44 #7535. MR 0290351 (44:7535)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0380817-8
Keywords: Simple knot, doubly-null-cobordant, Seifert matrix
Article copyright: © Copyright 1975 American Mathematical Society

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