A generalized Sard theorem on real closed fields

DOI10.1002/mana.201400364zbMath1343.58019arXiv1503.04300OpenAlexW2963754346MaRDI QIDQ2805383

Guillaume Valette, Anna Valette-Stasica

Publication date: 11 May 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04300

zbMATH Keywords

asymptotic critical valuesemi-algebraic mapping

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Differentiable mappings in differential topology (57R35) Critical points of functions and mappings on manifolds (58K05)

Related Items (3)

Global optimization of polynomials over real algebraic sets ⋮ Łojasiewicz inequality at singular points ⋮ Stratified \({{\mathcal{C}}}^P\)-semialgebraic triviality

Cites Work

• Vanishing homology
• Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds
• Théorème de préparation pour les fonctions logarithmico-exponentielles. (Preparation theorem for logarithmico-exponential functions)
• Semialgebraic Sard theorem for generalized critical values.
• O-minimal \(\Lambda ^{m}\)-regular stratification
• Semi-Algebraic Local-Triviality in Semi-Algebraic Mappings
• Lebesgue measure and integration theory on non-archimedean real closed fields with archimedean value group

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