Whitney regularity and generic wings

DOI10.5802/aif.830zbMath0442.58002OpenAlexW2322511809MaRDI QIDQ1143684

David J. A. Trotman, Vicente Navarro Aznar

Publication date: 1981

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1981__31_2_87_0

zbMATH Keywords

stratificationtestadjacent subanalytic strataVerdier's (w)-regularityWhitney \((b,\pi)\)-regular

Mathematics Subject Classification ID

Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Stratified sets (58A35) Stratifications in topological manifolds (57N80)

Related Items (9)

Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces ⋮ Scribbling continua in \(\mathbb{R}^ n\) and constructing singularities with prescribed Nash fibre and tangent cone ⋮ On (\(\omega\) ) and \((t^ s)\)-regular stratifications ⋮ Whitney, Kuo-Verdier and Lipschitz stratifications for the surfaces \(y^{a}=z^{b}x^{c}+x^{d}\) ⋮ Tangents limites, cône de Whitney et régularité par intersection. (Extreme tangents, Whitney cones and regularity by intersection) ⋮ Équisingularité réelle : nombres de Lelong et images polaires ⋮ Stratifications, equisingularity and triangulation ⋮ On the local geometry of definably stratified sets ⋮ Stratification Theory

Cites Work

• Obstructions to foliation preserving Lie group actions
• Conditions de Whitney et sections planes
• Les conditions de Whitney impliquent `\(\mu(*)\) constant'
• Stratifications de Whitney et théorème de Bertini-Sard
• Tangents to an analytic variety
• Whitney (b)-regularity is weaker than Kuo's ratio test for real algebraic stratifications.
• Ensembles et morphismes stratifiés
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