The theorem of the complement for a quasi subanalytic set

• Autorzy: Abdelhafed Elkhadiri
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 14Pxx: Real algebraic and real analytic geometry
• 32Bxx: Local analytic geometry
• 26E10: C ∞ -functions, quasi-analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 161
• Numer: 3
• Strony: 225-247

Daty

wydano

2004

Twórcy

autor

Abdelhafed Elkhadiri

• Faculty of Sciences, Department of Mathematics, B.P. 133, Kénitra, 14000, Morocco

Identyfikatory

DOI

10.4064/sm161-3-2