Abstract
We introduce the contact group K and the contact tangent space, and explore its use as a technical tool in calculation. We show how to construct all stable germs as contact-versal unfoldings of rank zero germs. We prove a geometrical criterion for finite A-codimension, due to Gaffney and Mather, in terms of isolated instability. The chapter ends with a section on Thom–Boardman singularities.
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Mond, D., Nuño-Ballesteros, J.J. (2020). Contact Equivalence. In: Singularities of Mappings. Grundlehren der mathematischen Wissenschaften, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-030-34440-5_4
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DOI: https://doi.org/10.1007/978-3-030-34440-5_4
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-34439-9
Online ISBN: 978-3-030-34440-5
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