Semialgebraic version of Whitney's extension theorem

DOI10.1007/s00013-019-01314-9zbMath1419.58008OpenAlexW2920915538MaRDI QIDQ2424597

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

Publication date: 25 June 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-019-01314-9

zbMATH Keywords

extension theoremNash functionsWhitney field$C^p$-functions

Mathematics Subject Classification ID

Differentiable mappings in differential topology (57R35) Differentiable maps on manifolds (58C25) Real-analytic and Nash manifolds (58A07) Model theory of ordered structures; o-minimality (03C64) Nash functions and manifolds (14P20)

Cites Work

• Nash manifolds
• On the division of distributions by polynomials
• Smooth functions in o-minimal structures
• O-minimal version of Whitney's extension theorem
• Approximation Theorems for Nash Mappings and Nash Manifolds
• Sur le problème de la division
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