Densité des ensembles sous-analytiques. (On the density of subanalytic sets)
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Publication:1120702
DOI10.5802/aif.1186zbMath0673.32015OpenAlexW2073224194MaRDI QIDQ1120702
Gilles Raby, Krzysztof Kurdyka
Publication date: 1989
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1989__39_3_753_0
Related Items (37)
Multiplicity, regularity and blow-spherical equivalence of real analytic sets ⋮ Multiplicity, regularity and Lipschitz geometry of real analytic hypersurfaces ⋮ Approximation of subanalytic sets by normal cones ⋮ Multiplicity \(mod \, 2\) as a metric invariant ⋮ Tangent cones and \(C^{1}\) regularity of definable sets ⋮ Stability of closedness of semi-algebraic sets under continuous semi-algebraic mappings ⋮ Motivic local density ⋮ Capacity density of subanalytic sets in higher dimension ⋮ On the Fukui–Kurdyka–Paunescu conjecture ⋮ Polynomial bound on the local Betti numbers of a real analytic germ ⋮ Volumes of definable sets in o-minimal expansions and affine GAGA theorems ⋮ Growth of log-analytic functions ⋮ O-minimal residue fields of o-minimal fields ⋮ Whitney stratifications and the continuity of local Lipschitz–Killing curvatures ⋮ Intrinsic curvatures in analytic-geometric categories ⋮ Directional properties of sets definable in o-minimal structures ⋮ Équisingularité réelle : nombres de Lelong et images polaires ⋮ Dirichlet regularity of subanalytic domains ⋮ Some classes of homeomorphisms that preserve multiplicity and tangent cones ⋮ On the local geometry of definably stratified sets ⋮ Algebraic approximation of germs of real analytic sets ⋮ Separating sets on semi-weighted homogeneous hypersurface singularities ⋮ Homogeneous Kähler and Hamiltonian manifolds ⋮ Unnamed Item ⋮ Lipschitz continuity properties for \(p\)-adic semi-algebraic and subanalytic functions ⋮ Separating sets, metric tangent cone and applications for complex algebraic germs ⋮ On Lipschitz rigidity of complex analytic sets ⋮ On tangent cones of analytic sets and Łojasiewicz exponents ⋮ Intégration des fonctions sous-analytiques et volumes des sous-ensembles sous-analytiques. (Integration of subanalytic functions and volumes of subanalytic subspaces) ⋮ Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms ⋮ Density of semi-pfaffian sets ⋮ Local topological algebraicity of analytic function germs ⋮ Differential invariance of the multiplicity of real and complex analytic sets ⋮ A proof of the differentiable invariance of the multiplicity using spherical blowing-up ⋮ Tangent Cones of Lipschitz Normally Embedded Sets Are Lipschitz Normally Embedded. Appendix by Anne Pichon and Walter D. Neumann ⋮ Stratification Theory ⋮ Principal kinematic formulas for germs of closed definable sets
Cites Work
- Point réguliers d'un sous-analytique. (Regular points of a subanalytic set)
- Nombres de Lelong généralisés, théorèmes d'intégralité et d'analyticité. (Generalized Lelong numbers, integrability and analyticity theorems)
- Semianalytic and subanalytic sets
- Subanalytic sets in the calculus of variation
- Stratifications de Whitney et théorème de Bertini-Sard
- Tangents to an analytic variety
- The Lelong number of a point of a complex analytic set
- Projections of semi-analytic sets
- Intégration sur un ensemble analytique complexe
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