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Homotopy rigidity of sturdy spaces

Characteristic Classes And Bordism

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Part of the Lecture Notes in Mathematics book series (LNM,volume 763)

Keywords

  • Homogeneous Space
  • Weyl Group
  • Maximal Torus
  • Linear Action
  • Linear Character

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References

  1. M.F.Atiyah and G.B.Segal, Lectures on equivariant K-theory, Mimeographed notes, Oxford, 1965.

    Google Scholar 

  2. A.Back, Homotopy rigidity for Grassmannians (to appear). Preprint, University of Chicago, 1978.

    Google Scholar 

  3. A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogenes de groupes de Lie compacts, Ann. of Math. 57 (1953), 115–207.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. G. Bredon, Introduction to compact transformation groups, Academic Press, London and New York, 1972.

    MATH  Google Scholar 

  5. J.Ewing and A.Liulevicius, Homotopy rigidity of linear actions on friendly homogeneous spaces (to appear).

    Google Scholar 

  6. A. Liulevicius, Homotopy rigidity of linear actions: characters tell all, Bull. Amer. Math. Soc. 84 (1978), 213–221.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. _____, Linear actions on friendly spaces, Proceedings of the Waterloo Algebraic Topology Conference, June 1978 (to appear).

    Google Scholar 

  8. J.McLeod, The Künneth formula in equivariant K-theory, Proceedings of the Waterloo Algebraic Topology Conference, June 1978 (to appear).

    Google Scholar 

  9. A. Meyerhoff and T. Petrie, Quasi-equivalences of G-modules, Topology 15 (1976), 69–75.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. J.D. Monk, The geometry of flag manifolds, Proceedings London Math. Soc. (3) 9 (1959), 253–286.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. H.V. Pittie, Homogeneous vector bundles on homogeneous spaces, Topology 11 (1972), 199–203.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. G.B.Segal, Equivariant K-theory, Inst. Hautes Etudes Sci. Publ. Math. No. 34 (1968), 129–151.

    Google Scholar 

  13. _____, Cohomology of topological groups, Symposia Mathematica, vol. IV (INDAM, Rome, 1968/69), 377–387.

    Google Scholar 

  14. R. Steinberg, On a theorem of Pittie, Topology 14 (1975), 173–177.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1979 Springer-Verlag

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Liulevicius, A. (1979). Homotopy rigidity of sturdy spaces. In: Dupont, J.L., Madsen, I.H. (eds) Algebraic Topology Aarhus 1978. Lecture Notes in Mathematics, vol 763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088084

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  • DOI: https://doi.org/10.1007/BFb0088084

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09721-1

  • Online ISBN: 978-3-540-38520-2

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