Stratified \({{\mathcal{C}}}^P\)-semialgebraic triviality

DOI10.1007/s00229-020-01227-wzbMath1468.14100OpenAlexW3045594906MaRDI QIDQ2049532

Anna Valette-Stasica

Publication date: 27 August 2021

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-020-01227-w

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Differentiable mappings in differential topology (57R35) Nash functions and manifolds (14P20)

Cites Work

• Nash triviality in families of Nash manifolds
• Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds
• Semialgebraic Sard theorem for generalized critical values.
• Uniform bounds on complexity and transfer of global properties of Nash functions
• A generalized Sard theorem on real closed fields
• Regularity at infinity of real mappings and a Morse-Sard theorem
• Semi-Algebraic Local-Triviality in Semi-Algebraic Mappings
• Bifurcation sets of definable functions in o-minimal structures
• Nashtriviality and generalized critical values
• Approximation in Compact Nash Manifolds
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