Polynomial knots

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

A polynomial knot is a smooth embedding $\kappa: \real \to \real^n$ whose
components are polynomials. The case $n = 3$ is of particular interest. It is
both an object of real algebraic geometry as well as being an open ended
topological knot. This paper contains basic results for these knots as well as
many examples.

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