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Singular Knot


A smooth map f:S^1->R^3 whose image has singularities. In particular, in the theory of Vassiliev's knot invariants, singular knots with a finite number of ordinary double points play an important role.


See also

Ordinary Double Point, Vassiliev Invariant

This entry contributed by Sergei Duzhin

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Cite this as:

Duzhin, Sergei. "Singular Knot." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/SingularKnot.html

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