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.
Approximation of subanalytic sets by normal cones
FORTUNA, ELISABETTA;
2007-01-01
Abstract
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.File in questo prodotto:
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