A characterization of $C^{\infty }$-sufficient $k$-jets
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- by Wojciech Kucharz PDF
- Proc. Amer. Math. Soc. 55 (1976), 419-423 Request permission
Abstract:
We improve some results of Mather and Arnold and find several necessary and sufficient conditions of sufficiency of $k$-jets. As a corollary we prove that the set of ${C^\infty }$-sufficient $k$-jets is a semialgebraic subset of the space of $k$-jets of ${C^\infty }$ mappings $F:({R^n},0) \to (R,0)$.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- 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