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

Adam 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 -