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arxiv: 1710.11034 · v1 · pith:C5YLFZLCnew · submitted 2017-10-30 · 🧮 math.GT · math.SG

Classification of Engel Knots

classification 🧮 math.GT math.SG
keywords engelknotsspaceclassificationclosecomplementequivalencefold
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For any Engel 4-fold, we show that the scanning map from the space of Engel knots to the space of formal Engel knots is a weak homotopy equivalence when restricted to the complement of the orbits of the Engel kernel. This is a relative, parametric and close h-principle.

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