The theorem of the complement for a quasi subanalytic set

Abdelhafed Elkhadiri. "The theorem of the complement for a quasi subanalytic set." Studia Mathematica 161.3 (2004): 225-247. <http://eudml.org/doc/284614>.

@article{AbdelhafedElkhadiri2004,
abstract = {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 $C^\{∞\}$ 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.},
author = {Abdelhafed Elkhadiri},
journal = {Studia Mathematica},
keywords = {quasianalytic functions; subanalytic and semianalytic sets; Gabrielov's theorem},
language = {eng},
number = {3},
pages = {225-247},
title = {The theorem of the complement for a quasi subanalytic set},
url = {http://eudml.org/doc/284614},
volume = {161},
year = {2004},
}

TY - JOUR
AU - Abdelhafed Elkhadiri
TI - The theorem of the complement for a quasi subanalytic set
JO - Studia Mathematica
PY - 2004
VL - 161
IS - 3
SP - 225
EP - 247
AB - 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 $C^{∞}$ 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.
LA - eng
KW - quasianalytic functions; subanalytic and semianalytic sets; Gabrielov's theorem
UR - http://eudml.org/doc/284614
ER -