A characterization of 𝐶^{∞}-sufficient 𝑘-jets

Kucharz, Wojciech

doi:10.1090/S0002-9939-1976-0400291-3

A characterization of $C\sp{\infty }$ -sufficient -jets

Author: Wojciech Kucharz
Journal: Proc. Amer. Math. Soc. 55 (1976), 419-423
MSC: Primary 58C25
DOI: https://doi.org/10.1090/S0002-9939-1976-0400291-3
MathSciNet review: 0400291
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Abstract: We improve some results of Mather and Arnold and find several necessary and sufficient conditions of sufficiency of -jets. As a corollary we prove that the set of ${C^\infty }$ -sufficient -jets is a semialgebraic subset of the space of -jets of ${C^\infty }$ mappings $F:({R^n},0) \to (R,0)$ .

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