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A functional relation in stable knot theory. (English) Zbl 0737.57011
Given a smooth knot $$S^ n\subset S^{n+2}$$, with Seifert surface $$V^{n+1}$$, we compute the homotopy class of the inclusion $$S^ n\subset V$$ in terms of the homotopy Seifert pairing of $$V$$, provided that the connectivity of $$V$$ is at least $$n/3$$ and $$n\geq 5$$.
Reviewer: R.Klein (Hagen)
##### MSC:
 57Q45 Knots and links in high dimensions (PL-topology) (MSC2010) 57R40 Embeddings in differential topology
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##### References:
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