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BIRS Workshop Lecture Videos

Infinitesimal Lipschitz Equisingularity: Genericity and Necessity Gaffney, Terence


In earlier work we used the double of an ideal to define in integral closure terms a notion of infinitesimal Lipschitz equisingularity for hypersurfaces. We describe different ways of extending this notion to general spaces, and show the most restrictive version is a generic condition. We then show that this condition is necessary for strong bi-Lipschitz equisingularity, a notion due to Fernandes and Ruas.  Hence our condition gives a necessary condition for a smooth subset of an analytic set to be a stratum in a Mostowski stratification of the set. 

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