Let X ⊂ (ℝⁿ,0) be a germ of a set at the origin. We suppose X is described by a subalgebra, Cₙ(M), of the algebra of germs of 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-3-2,
author = {Abdelhafed Elkhadiri},
title = {The theorem of the complement for a quasi subanalytic set},
journal = {Studia Mathematica},
volume = {162},
year = {2004},
pages = {225-247},
zbl = {1052.32009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-3-2}
}
Abdelhafed Elkhadiri. The theorem of the complement for a quasi subanalytic set. Studia Mathematica, Tome 162 (2004) pp. 225-247. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm161-3-2/