Dwi Juniati, David Trotman, Guillaume Valette
The paper shows that, for subanalytic stratifications, Lipschitz equisingularity as defined by Mostowski is preserved after intersection with generic wings, that is, L-regularity implies L*-regularity. This was one of the conditions required of a good equisingularity notion by Teissier in his foundational 1974 Arcata paper. Previous authors have shown that Lipschitz equisingularity is generic, implies bilipschitz triviality, and hence topological triviality, and implies equimultiplicity.
Laboratoire d'Analyse, Topologie et Probabilités, UMR 6632 du CNRS, Université de Provence, 13453 Marseille, 39 rue Joliot-Curie, France; Department of Mathematics, Faculty of Natural Sciences, Universitas Negeri Surabaya (UNESA), Indonesia
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