Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings

Małgorzata Czapla

Annales Polonici Mathematici (2010)

  • Volume: 97, Issue: 1, page 1-21
  • ISSN: 0066-2216

Abstract

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We describe the notion of a weakly Lipschitz mapping on a C q stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz homeomorphisms. This class includes the Whitney (B) condition and the Verdier condition.

How to cite

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Małgorzata Czapla. "Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings." Annales Polonici Mathematici 97.1 (2010): 1-21. <http://eudml.org/doc/280677>.

@article{MałgorzataCzapla2010,
abstract = {We describe the notion of a weakly Lipschitz mapping on a $C^\{q\}$ stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz homeomorphisms. This class includes the Whitney (B) condition and the Verdier condition.},
author = {Małgorzata Czapla},
journal = {Annales Polonici Mathematici},
language = {eng},
number = {1},
pages = {1-21},
title = {Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings},
url = {http://eudml.org/doc/280677},
volume = {97},
year = {2010},
}

TY - JOUR
AU - Małgorzata Czapla
TI - Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings
JO - Annales Polonici Mathematici
PY - 2010
VL - 97
IS - 1
SP - 1
EP - 21
AB - We describe the notion of a weakly Lipschitz mapping on a $C^{q}$ stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz homeomorphisms. This class includes the Whitney (B) condition and the Verdier condition.
LA - eng
UR - http://eudml.org/doc/280677
ER -

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