Proceedings of the Japan Academy, Series A, Mathematical Sciences

The invertibility problem on amphicheiral excellent knots

Akio Kawauchi
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 55, Number 10 (1979), 399-402.
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Primary Subjects: 57M25
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1195517071
Mathematical Reviews number (MathSciNet): MR559040
Zentralblatt MATH identifier: 0445.57003
Digital Object Identifier: doi:10.3792/pjaa.55.399

References

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[2] J. M. Van Buskirk: A class of amphicheiral knots and their Alexander polynomials. Notes, Aarhus Univ. (1977).
Zentralblatt MATH: 0375.55002
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[7] K. Murasugi: On periodic knots. Comment. Math. Helv., 46, 162-178 (1971).
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[9] D. Rolfsen: Knots and Links. Publish or Perish Inc. (1976).
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[10] L. C. Siebenmann: On vanishing of the Rohlin invariant and nonfinitely amphicheiral homology 3-spheres. Notes, I.H.E.S. (1979).
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[12] H. F. Trotter: Non-invertible knots exist. Topology, 2, 275-280 (1963).
Mathematical Reviews (MathSciNet): MR158395
Zentralblatt MATH: 0136.21203
Digital Object Identifier: doi:10.1016/0040-9383(63)90011-9
[13] F. Waldhausen: Uber Involutionen der 3-Sphare. Ibid., 8, 81-91 (1969).
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Zentralblatt MATH: 0185.27603
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[14] W. Whitten: Surgically transforming links into noninvertible knots. Amer. J. Math., 94, 1269-1281 (1972).
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Digital Object Identifier: doi:10.2307/2373574

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Proceedings of the Japan Academy, Series A, Mathematical Sciences

Proceedings of the Japan Academy, Series A, Mathematical Sciences

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