A singular knot is a smooth map 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.
Singular Knot
See also
Ordinary Double Point, Vassiliev InvariantThis entry contributed by Sergei Duzhin
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Cite this as:
Weisstein, Eric W., with contributions by Sergei Duzhin. "Singular Knot." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SingularKnot.html