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

2009/04/08 by Małgorzata Czapla, Czapla, Malgorzata
Computer Science · Mathematics · #14P05 #14P10 #32B20 #32B25 #Advanced Differential Equations and Dynamical Systems #Advanced Topology and Set Theory #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Dynamics and Fractals #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.0904.1316

openalex publication_date 2009/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we describe the notion of a weak lipschitzianity of a mapping\non a C^q stratification. We also distinguish a class of regularity\nconditions that are in some sense invariant under definable, locally Lipschitz\nand weakly bi-Lipschitz homeomorphisms. This class includes the Whitney (B)\ncondition and the Verdier condition.\n

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