Dimension globale et classe fondamentale d'un espace

Youssef Rami

Annales de l'institut Fourier (1999)

  • Volume: 49, Issue: 1, page 333-350
  • ISSN: 0373-0956

Abstract

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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 * ( Ω S ; 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.

How to cite

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Rami, Youssef. "Dimension globale et classe fondamentale d'un espace." Annales de l'institut Fourier 49.1 (1999): 333-350. <http://eudml.org/doc/75339>.

@article{Rami1999,
abstract = {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_*(\Omega S;K))&lt; \infty $ et lorsque $(S,K)$ est dans le domaine d’Anick. Nous introduisons aussi une suite spectrale “impaire des $\{\cal E\}\{\rm xt\}$” et complétons les résultats obtenus par A. Murillo dans le cas rationnel.},
author = {Rami, Youssef},
journal = {Annales de l'institut Fourier},
keywords = {-elliptic spaces; global dimension; evaluation map},
language = {fre},
number = {1},
pages = {333-350},
publisher = {Association des Annales de l'Institut Fourier},
title = {Dimension globale et classe fondamentale d'un espace},
url = {http://eudml.org/doc/75339},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Rami, Youssef
TI - Dimension globale et classe fondamentale d'un espace
JO - Annales de l'institut Fourier
PY - 1999
PB - Association des Annales de l'Institut Fourier
VL - 49
IS - 1
SP - 333
EP - 350
AB - 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_*(\Omega S;K))&lt; \infty $ et lorsque $(S,K)$ est dans le domaine d’Anick. Nous introduisons aussi une suite spectrale “impaire des ${\cal E}{\rm xt}$” et complétons les résultats obtenus par A. Murillo dans le cas rationnel.
LA - fre
KW - -elliptic spaces; global dimension; evaluation map
UR - http://eudml.org/doc/75339
ER -

References

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