Bi-Lipschitz trivialization of the distance function to a stratum of a stratification

• Autorzy: Adam Parusiński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32B20: Semi-analytic sets and subanalytic sets
• 32S15: Equisingularity (topological and analytic)
• 32S60: Stratifications; constructible sheaves; intersection cohomology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 87
• Numer: 1
• Strony: 213-218

Daty

wydano

2005

Twórcy

autor

Adam Parusiński

• Département de Mathématiques, UMR 6093 du CNRS, Université d'Angers, 2, bd Lavoisier, 49045 Angers Cedex 01, France

Identyfikatory

DOI

10.4064/ap87-0-17