Geodesic
The theorem of the complement for a quasi subanalytic set
Abdelhafed Elkhadiri1
1 Faculty of Sciences Department of Mathematics B.P. 133, Kénitra, 14000, Morocco
Studia Mathematica, Tome 161 (2004) no. 3, pp. 225-247

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $X\subset ({\mathbb R}^n,0)$ be a germ of a set at the origin. We suppose $X$ is described by a subalgebra, $C_n(M)$, of the algebra of germs of $C^{\infty }$ functions at the origin (see 2.1). This algebra is quasianalytic. We show that the germ $X$ has almost all the properties of germs of semianalytic sets. Moreover, we study the projections of such germs and prove a version of Gabrielov's theorem.
DOI : 10.4064/sm161-3-2
Keywords: subset mathbb germ set origin suppose described subalgebra algebra germs infty functions origin see algebra quasianalytic germ has almost properties germs semianalytic sets moreover study projections germs prove version gabrielovs theorem

Abdelhafed Elkhadiri 1

1 Faculty of Sciences Department of Mathematics B.P. 133, Kénitra, 14000, Morocco 
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Abdelhafed Elkhadiri. The theorem of the complement
 for a quasi subanalytic set. Studia Mathematica, Tome 161 (2004) no. 3, pp. 225-247. doi: 10.4064/sm161-3-2

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