Bi-Lipschitz Sufficiency of Jets |
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| Authors: | Guillaume Valette |
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| Affiliation: | 1. Department of Mathematics, University of Toronto, 40 St. George street, Toronto, ON, M5S 2E4, Canada
2. Instytut Matematyczny PAN, ul. Sw. Tomasza 30, 31-027, Kraków, Poland
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| Abstract: | We give some theorems of bi-Lipschitz or C 1 sufficiency of jets which are expressed by means of transversality with respect to some strata of a stratification satisfying the (L) condition of T. Mostowski. This enables us to prove that the number of metric types of intersection of smooth transversals to a stratum of an (a) regular stratification of a subanalytic set is finite. |
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