The theorem of the complement
for a quasi subanalytic set
Studia Mathematica, Tome 161 (2004) no. 3, pp. 225-247
Cet article a éte moissonné depuis 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.
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
Affiliations des auteurs :
Abdelhafed Elkhadiri 1
@article{10_4064_sm161_3_2,
author = {Abdelhafed Elkhadiri},
title = {The theorem of the complement
for a quasi subanalytic set},
journal = {Studia Mathematica},
pages = {225--247},
year = {2004},
volume = {161},
number = {3},
doi = {10.4064/sm161-3-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm161-3-2/}
}
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
Cité par Sources :