Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces

DOI10.1515/CRELLE.2007.050zbMath1128.53024MaRDI QIDQ5421675

Andreas Bernig, Alexander Lytchak

Publication date: 24 October 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

Gromov-Hausdorff limitgeodesicsemialgebraic setAlexandrov coneGromov tangent spacesubanalytic space

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (11)

Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones ⋮ Inner geometry of complex surfaces: a valuative approach ⋮ On the Fukui–Kurdyka–Paunescu conjecture ⋮ Geodesics orbiting a singularity ⋮ The exponential map at a cuspidal singularity ⋮ Basics on Lipschitz geometry ⋮ Applications of the sequence selection property to bi-Lipschitz geometry ⋮ The thick-thin decomposition and the bilipschitz classification of normal surface singularities ⋮ Lipschitz regular complex algebraic sets are smooth ⋮ Separating sets, metric tangent cone and applications for complex algebraic germs ⋮ On the geometry of sets satisfying the sequence selection property

Cites Work

• Semianalytic and subanalytic sets
• Normal embeddings of semialgebraic sets
• Geometric categories and o-minimal structures
• Scalar curvature of definable Alexandrov spaces
• Differentiation in metric spaces
• Scalar curvature of definable CAT-spaces

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