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A family of non-invertible prime links: Corrigendum

Published online by Cambridge University Press:  17 April 2009

James M. McPherson
James M. McPherson
Affiliation:
School of General Studies, Australian National University, Canberra, ACT.
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Wilbur Whitten has pointed out to me that there exist invertible links amongst my family of allegedly non-invertible links [3], and a letter from Neville Smythe has confirmed that the error lies in the third paragraph from the bottom of page 106. Professor Smythe also suggested that the use of F-isotopy was possibly a red herring and, accordingly, I have devised a simpler proof of the existence of infinitely many non-invertible prime links in S3 (although Wilbur Whitten's paper [4] makes such a proof redundant).

Type
Corrigendum
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 1 , August 1971 , pp. 141 - 143
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Hashizume, Yoko, “On the uniqueness of the decomposition of a link”, Osaka Math. J. 10 (1958), 283–283.Google Scholar
[2]Neuwirth, L.P., Knot groups (Annals of Mathematics Studies, Number 56; Princeton University Press, Princeton, New Jersey, 1965).Google Scholar
[3]McPherson, James M., “A family of non-invertible prime links”, Bull. Austral. Math. Soc. 4 (1971), 105–108.Google Scholar
[4]Whitten, Wilbur, “On prime noninvertible links”, Bull. Austral. Math. Soc. 5 (1971), 127–130.Google Scholar