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QUADRISECANTS OF KNOTS AND LINKS
https://doi.org/10.1142/S021821659400006XCited by:17 (Source: Crossref)
Abstract
We show that every non-trivial tame knot or link in ℝ3 has a quadrisecant, i.e. four collinear points. The quadrisecant must be topologically non-trivial in a precise sense. As an application, we show that a nonsingular, algebraic surface in ℝ3 which is a knotted torus must have degree at least eight.
