Omitting types algebraically
Page 1
J. Donald Monk (1978)
Annales scientifiques de l'Université de Clermont. Mathématiques
Krzysztof Kurdyka (1998)
Annales de l'institut Fourier
We prove the o-minimal generalization of the Łojasiewicz inequality , with , in a neighborhood of , where is real analytic at and . We deduce, as in the analytic case, that trajectories of the gradient of a function definable in an o-minimal structure are of uniformly bounded length. We obtain also that the gradient flow gives a retraction onto levels of such functions.
Roman Bek, Milan Růžička (1979)
Kybernetika
Michal Resl (1979)
Commentationes Mathematicae Universitatis Carolinae
H.-D. Ebbinghaus (1971)
Archiv für mathematische Logik und Grundlagenforschung
Jozef Šajda (1979)
Kybernetika
Klaus Kaiser (1978)
Archiv für mathematische Logik und Grundlagenforschung
Marica D. Prešić (1980)
Publications de l'Institut Mathématique
Slobodan T. Vujošević (1979)
Publications de l'Institut Mathématique
Vincent Lee, Mark Nadel (1975)
Fundamenta Mathematicae
Page 1