Real Algebraic and Analytic Geometry
Submission: 2009, September 2.
In this paper we describe the notion of a weak lipschitzianity of a 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.
Mathematics Subject Classification (2000): 14P05, 14P10, 32B20, 32B25.
Keywords and Phrases: o-minimal structure, weakly Lipschitz mapping, Verdier condition, Whitney conditions.
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