A+ CATEGORY SCIENTIFIC UNIT

Weierstrass division theorem in definable $C^{\infty}$ germs in a polynomially bounded o-minimal structure

Volume 89 / 2006

Abdelhafed Elkhadiri, Hassan Sfouli Annales Polonici Mathematici 89 (2006), 127-137 MSC: Primary 03C50, 26E10; Secondary 26E05, 03C65. DOI: 10.4064/ap89-2-2

Abstract

We give some examples of polynomially bounded o-minimal expansions of the ordered field of real numbers where the Weierstrass division theorem does not hold in the ring of germs, at the origin of $\mathbb{R}^n$, of definable $C^{\infty}$ functions.

Authors

  • Abdelhafed ElkhadiriDepartment of Mathematics
    Faculty of Sciences
    University Ibn Tofail
    BP 133 Kénitra, Morocco
    e-mail
  • Hassan SfouliDepartment of Mathematics
    Faculty of Sciences
    University Ibn Tofail
    BP 133 Kénitra, Morocco
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image