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Łojasiewicz inequalities for sets definable in the structure exp

Ta Lê Loi (1995)

Annales de l'institut Fourier

We consider some variants of Łojasiewicz inequalities for the class of subsets of Euclidean spaces definable from addition, multiplication and exponentiation : Łojasiewicz-type inequalities, global Łojasiewicz inequalities with or without parameters. The rationality of Łojasiewicz’s exponents for this class is also proved.

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