Nash triviality in families of Nash manifolds

DOI10.1007/BF02100609zbMath0801.14017MaRDI QIDQ1207409

Masahiro Shiota, Michel Coste

Publication date: 1 April 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143998

zbMATH Keywords

effectivenessdegree of a Nash submanifoldfinite partition into Nash submanifolds

Mathematics Subject Classification ID

Nash functions and manifolds (14P20)

Related Items (18)

Bifurcation sets of definable functions in o-minimal structures ⋮ A probabilistic algorithm for computing data-discriminants of likelihood equations ⋮ \(h\)-cobordism and \(s\)-cobordism theorems: transfer over semialgebraic and Nash categories, uniform bound and effectiveness ⋮ Variant quantifier elimination ⋮ Computing roadmaps in unbounded smooth real algebraic sets. I: Connectivity results ⋮ A baby steps/giant steps probabilistic algorithm for computing roadmaps in smooth bounded real hypersurface ⋮ Virtual Poincaré polynomial of the link of a real algebraic variety ⋮ The fibration method over real function fields ⋮ Unnamed Item ⋮ On analytic equivalence of functions at infinity ⋮ Nash triviality in families of Nash mappings ⋮ Rigidity and moduli space in real algebraic geometry ⋮ Computing roadmaps of semi-algebraic sets on a variety ⋮ Algebraic models of symmetric Nash sets ⋮ Stratified \({{\mathcal{C}}}^P\)-semialgebraic triviality ⋮ Modified Nash triviality of a family of zero-sets of real polynomial mappings ⋮ Separately Nash and arc‐Nash functions over real closed fields ⋮ Simultaneous resolution of singularities in the Nash category: finiteness and effectiveness

Cites Work

• Effectiveness - non effectiveness in semialgebraic and PL geometry
• Nash manifolds
• Morse Theory. (AM-51)
• Semi-Algebraic Local-Triviality in Semi-Algebraic Mappings
• Complexité des fonctions de nash

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