Quantifier Elimination and Rectilinearisation Theorem for Generalised Quasianalytic Algebras
arXiv:1303.3724 · doi:10.1112/plms/pdv010
Abstract
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.