On the finiteness of higher knot sums

  title={On the finiteness of higher knot sums},
  author={M. J. Dunwoody and R. Fenn},
Abstract In this paper we show that any higher knot ( n ≥3) can be decomposed as a sum of irreducible knots and there is a finite upper bound on the number of summands. The case n =1 is due to Schubert [10]. A proof of this present case was published in [12] by Soninskii but subsequently Maeda showed that a crucial lemma was false [7]. The difficulty is to find a bound on decompositions of the knot group π 1 . This is achieved here by applying Dunwoody's work in [3]. This results in two… Expand
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© Bulletin de la S. M. F., 1965, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http: //smf.emath.fr/Publications/Bulletin/Presentation.html) implique l’accordExpand
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