The Second Hull of a Knotted Curve
May 7, 2001
We define the second hull of a space curve, consisting of those points which are doubly enclosed by the curve in a certain sense. We prove that any knotted curve has nonempty second hull. We relate this to recent results on thick knots, quadrisecants, and minimal surfaces.
Let Bill Zwicker know whether or not you'll be joining us for lunch at 1:15 PM in the Mathematics common room.
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