Approximation of singular semialgebraic sets by smooth ones with respect to the Hausdorff metric

DOI10.1016/j.bulsci.2023.103270zbMath1514.14071OpenAlexW4367056922MaRDI QIDQ6040258

Wiesław Pawłucki, Beata Kocel-Cynk, Anna Valette-Stasica

Publication date: 24 May 2023

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2023.103270

zbMATH Keywords

Hausdorff metricapproximationsemialgebraic setNash manifold

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Deformations of singularities (14B07) Nash functions and manifolds (14P20) Deformation of singularities (58K60)

Cites Work

• Approximations in globally subanalytic and Denjoy-Carleman classes
• Smooth functions in o-minimal structures
• A bilipschitz version of Hardt's theorem
• Approximation Theorems for Nash Mappings and Nash Manifolds
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