scientific article; zbMATH DE number 1129715

zbMath0896.58012MaRDI QIDQ4380697

Laurentiu Paunescu

Publication date: 14 September 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

blow-upmodificationsLipschitz mapreal singularityanalytic arcsarc analytic functionsbianalytic isomorphismsblow analytic homeomorphismclassification of real singularities

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Real-analytic and semi-analytic sets (14P15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Jets in global analysis (58A20) Singularities of differentiable mappings in differential topology (57R45) Theory of singularities and catastrophe theory (58K99) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Differentiable maps on manifolds (58C25) Real-analytic functions (26E05)

Related Items (7)

The directional dimension of subanalytic sets is invariant under bi-Lipschitz homeomorphisms ⋮ Uniqueness of unibranched curve in \(\mathbb{R}^2\) up to simple blowings up ⋮ Hyperbolic polynomials and multiparameter real-analytic perturbation theory ⋮ Local metric properties of semi-quasihomogeneous real surfaces ⋮ Constructing blow-analytic isomorphisms ⋮ Implicit function theorem for locally blow-analytic functions ⋮ Invariants associated with blow-analytic homeomorphisms

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