Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings
Volume 97 / 2010
Annales Polonici Mathematici 97 (2010), 1-21
MSC: Primary 14P10, 32B20; Secondary 32S60, 51N20, 51F99.
DOI: 10.4064/ap97-1-1
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.
