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Simple non-finite knots are not prime in higher dimensions

Kearton, C.; Wilson, S.M.J.

Authors

C. Kearton

S.M.J. Wilson



Abstract

It has long been known that in high dimensions tbere are examples of irreducible knots which are not prime. Here we show that in fact there are no prime simple knots in high dimensions, with the possible exception of those whose homology is finite. In particular, the result holds for all simple (2q - 1)-knots, q > 1.

Citation

Kearton, C., & Wilson, S. (2003). Simple non-finite knots are not prime in higher dimensions. Journal of Knot Theory and Its Ramifications, 12(02), 225-241. https://doi.org/10.1142/s0218216503002408

Journal Article Type Article
Publication Date Mar 1, 2003
Deposit Date Feb 15, 2008
Journal Journal of Knot Theory and Its Ramifications
Print ISSN 0218-2165
Electronic ISSN 1793-6527
Publisher World Scientific Publishing
Peer Reviewed Peer Reviewed
Volume 12
Issue 02
Pages 225-241
DOI https://doi.org/10.1142/s0218216503002408
Public URL https://durham-repository.worktribe.com/output/1628878


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