科研之友
微信
新浪微博
Facebook
分享链接
摘要
Two subanalytic subsets of R(n) are s-equivalent at a collation point, say O, if the Hausdorff distance between their intersections with the sphere centered at O of radius r goes to zero faster than r(s). In the present paper we investigate the existence of an algebraic representative in every s-equivalence 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}.
- 出版日期2010-5
