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Articles de synthèse
J BOCHNAK G EFROYMSON An introduction to Nash functions
J BOCHNAK Nash functions
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affine algebraic algebraic set algébrique analytic apply assume belongs bundle called choose closed closure compact complete components connected consider constant construction contained continuous corps corresponds dans defined definition denote dimension divisor elements equivalent example exists extension fact factorial field fini finite formally real function field functions geometry given hence holds ideal implies induced irreducible isomorphic Lemma lemme locally manifold Math maximal means morphism Nash functions natural neighbourhood obtain ouvert particular peut polynomial positive powers preorder prime problem projection Proof Proposition prove rational real algebraic réel regular Remark result semi-algébrique semialgebraic semialgebraische signe simple singular smooth space statement structure subset Suppose Theorem théorème theory topology trivial unique Univ valuation ring variety zero