Skip to main content
Log in

Sur les foncteurs dérivés de la déstabilisation

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Références

  1. Brown, E.H., Jr., Gitler, S.: A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra. Topology12, 283–295 (1973)

    Google Scholar 

  2. Brown, E.H., Jr., Peterson, F.P.: The Brown-Gitler spectrum,Ω 2 S 3, and\(\eta _j \in \pi _{2^j }^s \). Preprint

  3. Brumfiel, G., Madsen, I., Milgram, R.J.: PL characteristic classes and cobordism. Ann. Math.97, 82–159 (1972)

    Google Scholar 

  4. Carlsson, G.B.: Segal Burnside ring conjecture for ((ℤ/2)k) Topology.22, 83–103 (1983)

    Google Scholar 

  5. Cartan, H., Eilenberg, S.: Homological algebra. Princeton: Princeton Univ. Press 1956

    Google Scholar 

  6. Curtis, E.B.: The Dyer-Lashof algebra and the Λ-algebra. Ill. J. Math.19, 231–246 (1975)

    Google Scholar 

  7. Dickson, L.D.: A fundamental system of invariants of the general modular linear group with a solution of the form problem. Trans. Am. Math. Soc.12, 75–98 (1911)

    Google Scholar 

  8. Grothendieck, A.: Sur quelques points d'algèbre homologique. Tohoku Math. J.9, 119–221 (1957)

    Google Scholar 

  9. Lannes, J., Zarati, S.: Invariants de Hopf d'ordre supérieur et suite spectrale d'Adams. Note aux C.R.A.S., t.296, 695–698 (1983)

    Google Scholar 

  10. Lannes, J., Zarati, S.: Invariants de Hopf d'ordre supérieur et suite spectrale d'Adams. A paraître

  11. Lin, W.H.: On conjecture of Mahowald, Segal and Sullivan. Math. Proc. Camb. Phil. Soc.87, 449–458 (1980)

    Google Scholar 

  12. Mahowald, M.: A new infinite family in2 π S* . Topology16, 249–254 (1977)

    Google Scholar 

  13. Massey, W.S., Peterson, F.P.: On the mod 2 cohomology structure of certain fiber spaces. Mem. Am. Math. Soc.74 (1967)

  14. Miller, H.: The Sullivan conjecture on maps from classifying spaces. Ann. Math.120, 39–87 (1984)

    Google Scholar 

  15. Singer, W.M.: Iterated loop functors and the homology of the Steenrod algebra. J. Pure Appl. Algebra11, 83–101 (1977)

    Google Scholar 

  16. Singer, W.M.: The construction of certain algebras over the Steenrod algebra. J. Pure Appl. Algebra11, 53–59 (1977)

    Google Scholar 

  17. Singer, W.M.: Iterated loop functors and the homology of the Steenrod algebra II, A chain complex forΩ s s . J. Pure Appl. Algebra16, 85–97 (1980)

    Google Scholar 

  18. Steenrod, N., Epstein, D.B.A.: Cohomology operations. Princeton: Princeton University Press 1962

    Google Scholar 

  19. Zarati, S.: Dérivés du foncteur de déstabilisation en caractéristique impaire et applications. Thèse de doctorat d'Etat, Orsay 1984

  20. Adams, J.F., Gunawardena, J., Miller, H.: The Segal conjecture for elementary abelianp-groups. Topology24, 435–460 (1985)

    Google Scholar 

  21. Lannes, J., Zarati, S.: Foncteurs dérivés de la déstabilisation. Note aux C.R.A.S., t.296, 573–576 (1983)

    Google Scholar 

  22. Lannes, J., Zarati, S.: Sur lesU-injectifs. Ann. scient. Éc. Norm. Sup., 4e série, t. 19, 1986, p. 303 à 333

    Google Scholar 

  23. Singer, W.M.: Invariant theory and the lambda algebra. Trans. A.M.S.,280, 673–693 (1983)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

U.A.C.N.R.S. no 169

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lannes, J., Zarati, S. Sur les foncteurs dérivés de la déstabilisation. Math Z 194, 25–59 (1987). https://doi.org/10.1007/BF01168004

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01168004

Navigation