Lipschitz stratification of subanalytic sets
Adam Parusiński (1994)
Annales scientifiques de l'École Normale Supérieure
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Adam Parusiński (1994)
Annales scientifiques de l'École Normale Supérieure
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Adam Parusiński (1988)
Banach Center Publications
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Jean-Pierre Henry, Adam Parusiński (2004)
Banach Center Publications
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We construct an invariant of the bi-Lipschitz equivalence of analytic function germs (ℝⁿ,0) → (ℝ,0) that varies continuously in many analytic families. This shows that the bi-Lipschitz equivalence of analytic function germs admits continuous moduli. For a germ f the invariant is given in terms of the leading coefficients of the asymptotic expansions of f along the sets where the size of |x| |grad f(x)| is comparable to the size of |f(x)|.
Stanisław Łojasiewicz (1995)
Banach Center Publications
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Edward Bierstone, Pierre D. Milman (1988)
Publications Mathématiques de l'IHÉS
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S. Lojasiewicz (1964)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mohamed S. Baouendi (1981)
Journées équations aux dérivées partielles
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Toshizumi Fukui, Krzysztof Kurdyka, Laurentiu Paunescu (2004)
Banach Center Publications
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We show that a subanalytic map-germ (Rⁿ,0) → (Rⁿ,0) which is arc-analytic and bi-Lipschitz has an arc-analytic inverse.
F. Acquistapace, F. Broglia, A. Tognoli (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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