Point réguliers d'un sous-analytique. (Regular points of a subanalytic set)

DOI10.5802/aif.1126zbMath0619.32007OpenAlexW2332667742MaRDI QIDQ1089471

Krzysztof Kurdyka

Publication date: 1988

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1988__38_1_133_0

zbMATH Keywords

distance functionsubanalytic setsubanalytic functionsregular pointsGateaux differentiable

Mathematics Subject Classification ID

Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items

On semi- and subanalytic geometry ⋮ Extending Tamm's theorem ⋮ Densité des ensembles sous-analytiques. (On the density of subanalytic sets) ⋮ Flatness and smooth points of \(p\)-adic subanalytic sets ⋮ Analytic functions and Nash functions along curves ⋮ Lipschitz stratification of subanalytic sets ⋮ On the points realizing the distance to a definable set ⋮ Équisingularité réelle : nombres de Lelong et images polaires ⋮ On the regularity of a semialgebraic function ⋮ Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity ⋮ Curve-rational functions ⋮ Implicit function theorem for locally blow-analytic functions ⋮ Subanalytic blow-$\mathcal {C}^m$ functions ⋮ AN INVERSE MAPPING THEOREM FOR BLOW-NASH MAPS ON SINGULAR SPACES ⋮ On the non-analyticity locus of an arc-analytic function ⋮ Separately Nash and arc‐Nash functions over real closed fields

Cites Work

• Continuous linear division and extension of \(C^\infty\) functions
• Subanalytic sets in the calculus of variation
• Stratification of real analytic mappings and images
• Sur les exposants de Lojasiewicz
• Projections of semi-analytic sets
• Analytic functions in topological vector-spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item