## 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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