Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-06T00:25:49.836Z Has data issue: false hasContentIssue false
  • English
  • Français

Démonstration du théorème sur la suite spectrale des fibrés au sens de Kan

Published online by Cambridge University Press:  24 October 2008

Gheorghe Lusztig  and
Henri Moscovici
Gheorghe Lusztig
Affiliation:
Institut de Mathematique, 47 Str. M. Eminescu, Bucarest 3, Roumania
Henri Moscovici
Affiliation:
Institut de Mathematique, 47 Str. M. Eminescu, Bucarest 3, Roumania
Get access Rights & Permissions [Opens in a new window]

Abstract

We give a relatively simple proof of the theorem on the spectral sequence of a fibre-space in the sense of Kan. The method consists in the reduction to locally trivial fibre-spaces by minimal fibrings and in the use of a very simple acyclic model theory (without degeneracies).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 293 - 297
Copyright
Copyright © Cambridge Philosophical Society 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Eilenberg, S. and MacLane, S.Acyclic models. Amer J. Math. 65 (1955), 189–199.Google Scholar
(2)Gabriel, P. et Zisman, M.Séminaire homotopique (Strasbourg, 1963/1964).Google Scholar
(3)Gugenheim, V. K. A. M. and Moore, J. C.Acyclic models and fibre-spaces. Trans. Amer Math. Soc. 85 (1957), 265–306.CrossRefGoogle Scholar
(4)Zisman, M.Quelques propriétés des fibrées au sens de Kan. Ann. Inst. Fourier (Grenoble) 10 (1960), 345–457.CrossRefGoogle Scholar