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Note on a conjecture of Stephen Halperin's

Part of the Lecture Notes in Mathematics book series (LNM,volume 1440)

Keywords

  • Minimal Model
  • Grassmann Manifold
  • Koszul Complex
  • Flag Manifold
  • Rational Cohomology

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References

  1. [H1] Halperin, S., Rational Fibrations, Minimal Models and Fibrings of Homogeneous Spaces, T.A.M.S., 244 (1978), 199–223.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. [H2] Halperin, S., Finiteness in the Minimal Models of Sullivan, T.A.M.S., 230 (1977), 173–199.

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  3. [H3] Halperin, S., Lectures on Minimal Models, Mémoires S. M. F. nouvelle série, 9–10 (1983).

    Google Scholar 

  4. Halperin, S. and Thomas, J.-C., Rational Equivalence of Fibrations with Fibre G/K, Can. J. Math., 34 (1982), 31–43.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. McCleary, J., Users Guide to Spectral Sequences, Publish or Perish, 1985.

    Google Scholar 

  6. Markl, M., Towards One Conjecture on Collapsing of the Serre Spectral Sequence, to appear in Circ. Rend. Mat. Palermo.

    Google Scholar 

  7. Meier, W., Rational Universal Fibrations and Flag Manifolds, Math. Ann., 258 (1983), 329–340.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Shiga, H. and Tezuka, M., Rational Fibrations, Homogeneous Spaces with Positive Euler Characteristics and Jacobians, Annales de l'Institute Fourier, 37 (1987), 81–106.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Sullivan, D., Infinitesimal Computations in Topology, Publ. Math. I. H. E. S., 47 (1977), 269–331.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Thomas, J.-C., Rational Homotopy of Serre Fibrations, Annales de l'Institut Fourier, 31 (1981), 71–90.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1990 Springer-Verlag

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Lupton, G. (1990). Note on a conjecture of Stephen Halperin's. In: Latiolais, P. (eds) Topology and Combinatorial Group Theory. Lecture Notes in Mathematics, vol 1440. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084459

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  • DOI: https://doi.org/10.1007/BFb0084459

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  • Print ISBN: 978-3-540-52990-3

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