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Nil-Localization of unstable algebras over the Steenrod algebra

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References

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

    Article  MathSciNet  MATH  Google Scholar 

  2. Bousfield, A.K., Kan, D.M.: The homotopy spectral sequence of a space with coefficients in a ring. Topology11, 79–106 (1972)

    Article  MathSciNet  Google Scholar 

  3. Goerss, P., Smith, L., Zarati, S.: Sur lesA-algèbres instables. To appear in the proceedings of the Barcelona C.A.T. (L.N.M.)

  4. Lannes, J., Schwartz, L.: Sur la structure desA-modules instables injectifs. To appear in the proceedings of the Barcelona C.A.T. (L.N.M.)

  5. Lannes, J., Zarati, S.: Sur lesU-injectifs. Ann. Sci. Ec. Norm. Super. 4è série19, 303–333 (1986)

    MathSciNet  MATH  Google Scholar 

  6. Li, W.H.: Iterated loop functors and the homology of the Steenrod algebraA(p). Thesis, Fordham Univ., New York, 1980

    Google Scholar 

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

    Article  MATH  Google Scholar 

  8. Quillen, D.: The spectrum of an equivariant cohomology ring: I. Ann. Math.94, 549–572 (1971)

    Article  MathSciNet  MATH  Google Scholar 

  9. Rector, D.L.: Noetherian cohomology rings and finite loop spaces with torsion. J. Pure Appl. Algebra32, 191–217 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  10. Zarati, S.: Dérivés du foncteur dé destabilization en caractéristique impaire et applications. Thèse de Doctorat d'État, Orsay 1984

  11. Zarati, S.: Quelques propriétés du foncteur HomU p (,H * V). Algebraic Topology, Göttingen 1984, L.N.M. 1172, 204–209

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Authors and Affiliations

  1. Facultat de Ciències, Department de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra (Barcelona), Spain

    C. Broto

  2. Fac. Sciences-Math., Université de Tunis, 1060, Tunis, Tunisia

    S. Zarati

Authors
  1. C. Broto
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  2. S. Zarati
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Broto, C., Zarati, S. Nil-Localization of unstable algebras over the Steenrod algebra. Math Z 199, 525–537 (1988). https://doi.org/10.1007/BF01161641

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