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Whitney regularity and generic wings

V. Navarro AznarDavid J. A. Trotman — 1981

Annales de l'institut Fourier

Given adjacent subanalytic strata ( X , Y ) in R n verifying Kuo’s ratio test ( r ) (resp. Verdier’s ( w ) -regularity) we find an open dense subset of the codimension k C 1 submanifolds W (wings) containing Y such that ( X W , Y ) is generically Whitney ( b π ) -regular is exactly one more than the dimension of the set of limits of vectors for which ( b π ) fails. A general position argument for smooth strata is also given.

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