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

Annales Polonici Mathematici (2005)

- Volume: 87, Issue: 1, page 213-218
- ISSN: 0066-2216

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topAdam Parusiński. "Bi-Lipschitz trivialization of the distance function to a stratum of a stratification." Annales Polonici Mathematici 87.1 (2005): 213-218. <http://eudml.org/doc/280591>.

@article{AdamParusiński2005,

abstract = {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.},

author = {Adam Parusiński},

journal = {Annales Polonici Mathematici},

keywords = {Lipschitz stratification; Whitney stratification; Bekka-Trotman regularity condition; distance function; subanalytic sets},

language = {eng},

number = {1},

pages = {213-218},

title = {Bi-Lipschitz trivialization of the distance function to a stratum of a stratification},

url = {http://eudml.org/doc/280591},

volume = {87},

year = {2005},

}

TY - JOUR

AU - Adam Parusiński

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

JO - Annales Polonici Mathematici

PY - 2005

VL - 87

IS - 1

SP - 213

EP - 218

AB - 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.

LA - eng

KW - Lipschitz stratification; Whitney stratification; Bekka-Trotman regularity condition; distance function; subanalytic sets

UR - http://eudml.org/doc/280591

ER -

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