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.

@article{AIF_1999__49_1_333_0,
     author = {Rami, Youssef},
     title = {Dimension globale et classe fondamentale d'un espace},
     journal = {Annales de l'Institut Fourier},
     pages = {333--350},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {49},
     number = {1},
     year = {1999},
     doi = {10.5802/aif.1676},
     zbl = {0920.55009},
     mrnumber = {2000c:55012},
     language = {fr},
     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1676/}
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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. https://aif.centre-mersenne.org/articles/10.5802/aif.1676/

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