Jet-detectable extrema
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- by Angelo Barone Netto
- Proc. Amer. Math. Soc. 92 (1984), 604-608
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760952-8
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Abstract:
Given a real polynomial $f$ with $f(0) = 0$, we define a finite family of germs of smooth one-variable functions that can be used to test if $f$ has an extreme value at 0. A generalization is obtained for functions that have $k$-jets in a suitable sense.References
- C. Gibson et al., Construction of canonical stratifications—topological stability of smooth mappings, Lecture Notes in Math., vol. 552, Springer-Verlag, Berlin, Heidelberg and New York, 1976.
- John Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. 61, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. MR 0239612
Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 604-608
- MSC: Primary 58C27
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760952-8
- MathSciNet review: 760952