Displaying similar documents to “Frontière d'une hypersurface pfaffienne et géométrie sous-analytique”

Prolongements en fonctions algébriquement constructibles.

Isabelle Bonnard-Doré (2004)

Revista Matemática Complutense

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In this paper we consider the following question: Let S be a semialgebraic subset of a real algebraic set V, and let φ: S → Z be a function on S. Is φ the restriction of an algebraically constructible function on V, i.e. a sum of signs of polynomials on V? We give an effective method to answer this question when φ(S) ⊂ {-1,1} or dim S ≤ 2 or S is basic.

Sur les feuilletages des variétés fibrées

Hamidou Dathe, Cédric Tarquini (2008)

Annales mathématiques Blaise Pascal

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Nous construisons un feuilletage exotique de classe C 1 sur tout fibré hyperbolique de genre 1 . Nous montrons égalemnt des théorèmes de rigidité des feuilletages modèles sur certains fibrés pseudo-Anosov.

Noethérianité de certaines algèbres de fonctions analytiques et applications

Abdelhafed Elkhadiri, Mouttaki Hlal (2000)

Annales Polonici Mathematici

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Let M ⊂ ℝ n be a real-analytic submanifold and H(M) the algebra of real analytic functions on M. If K ⊂ M is a compact subset we consider S K = f ∈ H ( M ) | f ( x ) ≠ 0 f o r a l l x ∈ K ; S K is a multiplicative subset of H ( M ) . Let S K - 1 H ( M ) be the localization of H(M) with respect to S K . In this paper we prove, first, that S K - 1 H ( M ) is a regular ring (hence noetherian) and use this result in two situations:    1) For each open subset Ω ⊂ ℝ n , we denote by O(Ω) the subalgebra of H(Ω) defined as follows: f ∈ O(Ω) if and only if for all x ∈ Ω, the germ of f at x, f x ,...