Exposants de Łojasiewicz pour les fonctions semi-algébriques
Volume 56 / 1992
Annales Polonici Mathematici 56 (1992), 123-131
DOI: 10.4064/ap-56-2-123-131
Abstract
We prove the rationality of the Łojasiewicz exponent for semialgebraic functions without compactness hypothesis. In the parametric situation, we show that the parameter space can be divided into a finite number of semialgebraic sets on each of which the Łojasiewicz exponent is constant.
