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

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Algebraic Topology Homotopy and Group Cohomology

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

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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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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 

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Author information

Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193, Bellaterra (Barcelona), Spain

    Carlos Broto

  2. Faculté des Sciences - Mathematics, Université de Tunis, TN-1060, Tunis, Tunisia

    Saïd Zarati

  3. Centre de Recerca Matemàtica, E-08193, Bellaterra (Barcelona), Spain

    Saïd Zarati

Authors
  1. Carlos Broto
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  2. Saïd Zarati
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Editor information

Jaume Aguadé Manuel Castellet Frederick Ronald Cohen

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© 1992 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55195-9

  • Online ISBN: 978-3-540-46772-4

  • eBook Packages: Springer Book Archive

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