Quantifier Elimination and Rectilinearisation Theorem for Generalised Quasianalytic Algebras
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🧮 math.AG
keywords
generalisedquasianalyticalgebraalgebraseliminationquantifierrealrectilinearisation
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An algebra of germs of real functions is generalised quasianalytic if to each element of the algebra we can associate, injectively, a power series with nonnegative real exponents. We prove a quantifier elimination and a rectilinearisation result for generalised quasianalytic algebras.
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