In this paper a notion of approximation of order s (called s-equivalence) between two closed subanalytic subsets of R^n along a common submanifold is introduced. It is proved that the normal cone N_X(A) to A along X is 1-equivalent to A along X, assuming that X is a stratum of a stratification of A satisfying Verdier's condition (w). Furthermore the normal cone is shown to be a complete invariant for the classes of 1-equivalence of subanalytic sets along a common stratum.
|Autori:||FERRAROTTI M; FORTUNA E; WILSON L|
|Titolo:||Approximation of subanalytic sets by normal cones|
|Anno del prodotto:||2007|
|Digital Object Identifier (DOI):||10.1112/blms/bdl034|
|Appare nelle tipologie:||1.1 Articolo in rivista|