Lipschitz stratification of real analytic sets
Adam Parusiński (1988)
Banach Center Publications
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Adam Parusiński (1988)
Banach Center Publications
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Adam Parusiński (1988)
Annales de l'institut Fourier
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The existence of Lipschitz stratification, in the sense of Mostowski, for compact semi-analytic sets is proved. (This stratification ensures the constance of the Lipschitz type along each stratum). The proof is independent of the complex case, considered by Mostowski, and gives also some other Lipschitz properties of semi-analytic sets.
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.
Mohamed S. Baouendi (1981)
Journées équations aux dérivées partielles
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Adam Parusiński (1994)
Annales scientifiques de l'École Normale Supérieure
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Jesùs M. Ruiz (1986)
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Zapiski Nauchnykh Seminarov POMI
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