Bi-Lipschitz trivialization of the distance function to a stratum of a stratification
Adam Parusiński
Annales Polonici Mathematici, Tome 85 (2005), p. 213-218 / Harvested from The Polish Digital Mathematics Library
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Given a Lipschitz stratification 𝒳 that additionally satisfies condition (δ) of Bekka-Trotman (for instance any Lipschitz stratification of a subanalytic set), we show that for every stratum N of 𝒳 the distance function to N is locally bi-Lipschitz trivial along N. The trivialization is obtained by integration of a Lipschitz vector field.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:280591 
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Adam Parusiński. Bi-Lipschitz trivialization of the distance function to a stratum of a stratification. Annales Polonici Mathematici, Tome 85 (2005) pp. 213-218. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap87-0-17/