HIGHER ORDER APPROXIMATION OF ANALYTIC SETS BY TOPOLOGICALLY EQUIVALENT ALGEBRAIC SETS Auteur(s): Bilski Marcin, Kurdyka Krzysztof, Parusinski Adam, Rond G.
Ref HAL: hal-01287899_v1 Ref Arxiv: 1602.06933 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote Résumé: It is known that every germ of an analytic set is homeomorphic to the germ of an algebraic set. In this paper we show that the homeomorphism can be chosen in such a way that the analytic and algebraic germs are tangent with any prescribed order of tangency. Moreover, the space of arcs contained in the algebraic germ approximates the space of arcs contained in the analytic one, in the sense that they are identical up to a prescribed truncation order. |