Two subanalytic subsets of Rn are s-equivalent at a common point, say O, if the Hausdorff distance between their intersections with the sphere centered at O of radius r goes to zero faster than s. In the present paper we investigate the existence of an algebraic representative in every sequivalence class of subanalytic sets. First we prove that such a result holds for the zero-set V (f) of an analytic map f when the regular points of f are dense in V (f). Moreover we present some results concerning the algebraic approximation of the image of a real analytic map f under the hypothesis that f−1(O) = {O}.
Algebraic approximation of germs of real analytic sets / FERRAROTTI M.; FORTUNA E.; WILSON L.. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 138:5(2010), pp. 1537-1548.
Titolo: | Algebraic approximation of germs of real analytic sets | |
Autori: | ||
Data di pubblicazione: | 2010 | |
Rivista: | ||
Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11583/2317463