Abstract
We consider families of polynomial mappings \(f_t\), and we study the set of parameters t for which \(f_t\) has a near-critical point with value near the origin (it is well-known that general transversality results can be reduced to this situation). The variations of this critical set are bounded by its level of degeneracy. We also apply similar methods to Thom-Boardman singularities.
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© 2004 Springer-Verlag
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Yomdin, Y., Comte, G. (2004). 8. Quantitative Transversality and Cuspidal Values. In: Tame Geometry with Application in Smooth Analysis. Lecture Notes in Mathematics, vol 1834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40960-1_8
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DOI: https://doi.org/10.1007/978-3-540-40960-1_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20612-5
Online ISBN: 978-3-540-40960-1
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