ON THE IRREDUCIBLE COMPONENTS OF A SEMIALGEBRAIC SET

DOI10.1142/S0129167X12500310zbMath1271.14087OpenAlexW2127724089MaRDI QIDQ5389544

José F. Fernando, Jose Manuel Gamboa

Publication date: 21 April 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x12500310

zbMATH Keywords

Nash functionsubstitution theoremNash setpositivstellensätze17th Hilbert problem and real nullstellensatzirreducible components of a semialgebraic setirreducible semialgebraic setq-Nash setw-Nash set

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Real-analytic and Nash manifolds (58A07) Nash functions and manifolds (14P20)

Related Items

On the irreducible components of globally defined semianalytic sets ⋮ On Nash images of Euclidean spaces ⋮ ON THE SUBSTITUTION THEOREM FOR RINGS OF SEMIALGEBRAIC FUNCTIONS ⋮ A proof of Kurdyka's conjecture on arc-analytic functions ⋮ Surjective Nash maps between semialgebraic sets ⋮ Finiteness problems on Nash manifolds and Nash sets ⋮ On the one dimensional polynomial and regular images of \(\mathbb R^n\) ⋮ Some results on global real analytic geometry ⋮ Polynomial, regular and Nash images of Euclidean spaces ⋮ Approximation on Nash sets with monomial singularities ⋮ On the set of points at infinity of a polynomial image of \(\mathbb R^n\) ⋮ Differentiable approximation of continuous semialgebraic maps

Cites Work

• Unnamed Item
• A note on a separation problem
• Separation, retractions and homotopy extension in semialgebraic spaces
• Substitution in Nash functions
• A global real analytic Nullstellensatz
• Complexity of finding irreducible components of a semialgebraic set
• Proprieta globali degli spazi analitici reali
• Introduction to the theory of analytic spaces
• Sur les fonctions analytiques de plusieurs variables. VIII. Lemme fondamental
• Sur la normalité analytique des variétés normales
• Smooth points of a semialgebraic set
• Nash functions on noncompact Nash manifolds

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