Abstract
One of the singularities of the convex hull of a generic hypersurface in \(\mathbb {R}^{4}\) leads to a generic sewing of two famous surfaces, the swallowtail and the Whitney umbrella, along their self-intersection lines. We prove that germs of all such sewings at the common endpoint of the self-intersection lines are diffeomorphic to each other with respect to diffeomorphisms of the ambient space.
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Sedykh, V.D. Swallowtail, Whitney Umbrella and Convex Hulls. J Dyn Control Syst 28, 1–17 (2022). https://doi.org/10.1007/s10883-020-09510-5
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DOI: https://doi.org/10.1007/s10883-020-09510-5