Skip to main content

On sub-A*p-algebras of H*V

Part of the Lecture Notes in Mathematics book series (LNM,volume 1509)

Keywords

  • Exact Sequence
  • Full Subcategory
  • Algebraic Topology
  • Integral Closure
  • Injective Resolution

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.F. Adams and C.W. Wilkerson, Finite H-spaces and algebras over the Steenrod algebra, Ann. of Math.111 (1980), 95–143.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. C. Broto and S. Zarati, Nil-localization of unstable algebras over the Steenrod algebra, Math. Zeit.199 (1988), 525–537.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. G. Carlsson, G.B. Segal burnside ring conjecture for (Z/2)κ, Topology22 (1983), 83–102.

    CrossRef  MathSciNet  Google Scholar 

  4. J.H. Gunawardena, J. Lannes and S. Zarati, Cohomologie des groupes symétriques et application de Quillen, in “Homotopy Theory,” L.M.S., Camb. Univ. Press, 1990.

    Google Scholar 

  5. P. Goerss, L. Smith and S. Zarati, Sur les A*p-algèbres instables, in “Algebraic Topology, Barcelona 1986,” Lecture Notes in Math. vol. 1298, Springer, 1987.

    Google Scholar 

  6. H.W. Henn, Some finiteness results in the category of unstable modules over the Steenrod algebra and application to stable splittings; Preprint.

    Google Scholar 

  7. H.W. Henn, J. Lannes and L. Sciiwartz, The categories of unstable modules and unstable algebras modulo nilpotent objects; Preprint.

    Google Scholar 

  8. _____, Nil-localization of cohomology of BG; In preparation.

    Google Scholar 

  9. R.M. Kane, “The homology of Hopf Spaces,” North Holland Math. Library, 1988.

    Google Scholar 

  10. J. Lannes, Sur la cohomologie modulo p des p-groupes abeliens élémentaries, L. M. S, Camb. Univ. Press; Proc. Durham Symposium on Homotopy Theory 1985, (1987), 97–116.

    Google Scholar 

  11. J. Lannes and L. Schwartz, Sur la structure des A*p-modules instables injectifs, Topology28 (1989), 153–169.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. J. Lannes and S. Zarati, Sur les u-injectifs, Ann. Scient. Ec. Norm. Sup.19 (1986), 303–333.

    MathSciNet  MATH  Google Scholar 

  13. _____, Foncteurs dérivés de la déstabilisation, Math. Z. 194 (1987), 25–59.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. H.R. Miller, The Sullivan conjecture on maps from classifying spaces, Annals of Math120 (1984), 39–87.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. L. Schwartz, La filtration nilpotente de la catégorie μ et la cohomologie des espaces de lacets, in “Algebraic Topology Rational Homotopy, Louvain 1986,” Lecture Notes in Math 1318, Springer, 1988.

    Google Scholar 

  16. R.G. Swan, “Algebraic K-Theory,” L.N.M. 76, 1968.

    Google Scholar 

  17. C.W. Wilkerson, Integral closure of unstable Steenrod algebra actions, JPAA13 (1978), 49–55.

    MathSciNet  MATH  Google Scholar 

  18. S. Zarati, Derived functors of the Destabilization functor and the Adams spectral sequence, in “Algebraic Topology, Luminy 1988;” to appear in Astérisque.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Broto, C., Zarati, S. (1992). On sub-A*p-algebras of H*V . In: Aguadé, J., Castellet, M., Cohen, F.R. (eds) Algebraic Topology Homotopy and Group Cohomology. Lecture Notes in Mathematics, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087500

Download citation

  • DOI: https://doi.org/10.1007/BFb0087500

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55195-9

  • Online ISBN: 978-3-540-46772-4

  • eBook Packages: Springer Book Archive