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LIPSCHITZ STRATIFICATIONS AND GENERIC WINGS

Published online by Cambridge University Press:  08 August 2003

DWI JUNIATI ,
DAVID TROTMAN  and
GUILLAUME VALETTE
DWI JUNIATI
Affiliation:
Laboratoire d'Analyse, Topologie et Probabilités, UMR 6632 du CNRS, Université de Provence, 39 rue Joliot-Curie, 13453 Marseille, France Department of Mathematics, Faculty of Natural Sciences, Universitas Negeri Surabaya (UNESA), Indonesia
DAVID TROTMAN
Affiliation:
Laboratoire d'Analyse, Topologie et Probabilités, UMR 6632 du CNRS, Université de Provence, 39 rue Joliot-Curie, 13453 Marseille, France
GUILLAUME VALETTE
Affiliation:
Laboratoire d'Analyse, Topologie et Probabilités, UMR 6632 du CNRS, Université de Provence, 39 rue Joliot-Curie, 13453 Marseille, France
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Abstract

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.

Keywords

32S6058A35
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 1 , August 2003 , pp. 133 - 147
Copyright
The London Mathematical Society 2003

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