Thin-thick decomposition for real definable isolated singularities

DOI10.1512/iumj.2017.66.6008zbMath1366.14051arXiv1505.07309OpenAlexW2963226058MaRDI QIDQ5269794

Alexandre C. G. Fernandes, Lev Birbrair, Vincent Grandjean

Publication date: 28 June 2017

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07309

zbMATH Keywords

real singularitieso-minimal structuresLipschitz equivalencebilipschitz geometryblow-spherical equivalencemetrically conical singularitiesspherical modificationtangent link

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Singularities of differentiable mappings in differential topology (57R45) Topology of real algebraic varieties (14P25) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Topological properties of mappings on manifolds (58K15) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (6)

Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones ⋮ Multiplicity, regularity and blow-spherical equivalence of real analytic sets ⋮ Multiplicity, regularity and Lipschitz geometry of real analytic hypersurfaces ⋮ Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms ⋮ 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

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