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On \(n\)-equivalence of knots and invariants of finite degree. (Russian. English summary) Zbl 0824.57002

Summary: A notion of \(n\)-equivalence of knots is introduced and it is shown that the equivalence classes with the connected sum operation make finitely generated abelian groups composing an inverse sequence. The \(n\)- equivalence class of knot is the universal invariant of degree \(n\) (Vassiliev invariant).

MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
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