English

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

Differential Geometry 2011-11-10 v1

Abstract

In this paper we describe the notion of a weak lipschitzianity of a mapping on a CqC^{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.

Keywords

Cite

@article{arxiv.0904.1316,
  title  = {Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings},
  author = {Malgorzata Czapla},
  journal= {arXiv preprint arXiv:0904.1316},
  year   = {2011}
}