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Bi-Lipschitz Sufficiency of Jets

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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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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, 40 St. George street, Toronto, ON, M5S 2E4, Canada

    Guillaume Valette

  2. Instytut Matematyczny PAN, ul. Sw. Tomasza 30, 31-027, Kraków, Poland

    Guillaume Valette

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  1. Guillaume Valette
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Correspondence to Guillaume Valette.

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This paper is partially supported by the Polish KBN grant 0235/P03/2004/27.

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Valette, G. Bi-Lipschitz Sufficiency of Jets. J Geom Anal 19, 963–993 (2009). https://doi.org/10.1007/s12220-009-9093-8

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  • DOI: https://doi.org/10.1007/s12220-009-9093-8

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