no. 1
Dimension globale et classe fondamentale d'un espace
Annales de l'Institut Fourier, Tome 49 (1999) no. 1, pp. 333-350

L’algèbre de Pontryagin d’un espace K-elliptique vérifie le théorème d’Auslander-Buchsbaum-Serre. Nous donnons ici plusieurs caractérisations des espaces K-elliptiques tels que gldim(H * (ΩS;K))<∞ et lorsque (S,K) est dans le domaine d’Anick. Nous introduisons aussi une suite spectrale “impaire des ℰ xt ” et complétons les résultats obtenus par A. Murillo dans le cas rationnel.

The Pontryagin algebra of a K-elliptic space satisfy the Auslander-Buchsbaum-Serre theorem. We give some characterizations of the K-elliptic spaces with H * (ΩS;K) of finite global dimension and with (S,K) in the Anick range. We also introduce an “ℰ xt -odd” spectral sequence and complete the results obtained by A. Murillo in the rational case.

Rami, Youssef. Dimension globale et classe fondamentale d'un espace. Annales de l'Institut Fourier, Tome 49 (1999) no. 1, pp. 333-350. doi: 10.5802/aif.1676
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