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• W2022692114 abstract "Variants of the algebraic conditions of Mather are shown to be sufficient for the $k$-determinacy of ${C^u}$ maps with respect to $j$-flat, contact (or right) ${C^r}$ equivalence relations where $u - k leq r leq u - k + j + 1$ and $0 leq j < k leq u$. The required changes of coordinates and matrix-valued functions are constructed from the variation of coefficients in polynomials. The main result follows from a finite-dimensional, polynomial pertubation argument which employs a parameter-dependent polynomial representation of functions based on Taylor’s formula. For $r > k$, the algebraic conditions are seen to be necessary." @default.
• W2022692114 created "2016-06-24" @default.
• W2022692114 creator A5087027503 @default.
• W2022692114 date "1989-01-01" @default.
• W2022692114 modified "2023-09-24" @default.
• W2022692114 title "Determinacy of sufficiently differentiable maps" @default.
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• W2022692114 doi "https://doi.org/10.1090/s0002-9947-1989-0937251-3" @default.
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