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An additive basis for the cohomology of real Grassmannians

  • Homotopy Theory
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Algebraic Topology Poznań 1989

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1474))

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References

  1. A. Borel: La cohomologie mod 2 de certains espaces homogènes, Comm. Math. Helv. 27 (1953), 165–197.

    Article  MathSciNet  MATH  Google Scholar 

  2. I. Berstein: On the Lusternik-Schnirelmann category of Grassmannians, Math. Proc. Camb. Phil.Soc. 79 (1976), 129–134.

    Article  MathSciNet  MATH  Google Scholar 

  3. S. Chern: On the multiplication in the characteristic ring of a sphere bundle, Ann. of Math. 49 (1948), 362–372.

    Article  MathSciNet  MATH  Google Scholar 

  4. C. Ehresmann: Sur la topologie de certains espaces homogènes, Ann. of Math. 35 (1934), 396–443.

    Article  MathSciNet  MATH  Google Scholar 

  5. H.L. Hiller: On the cohomology of real Grassmannians, Trans. Amer. Math. Soc. 257 (1980), 521–533.

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  6. J.W. Milnor, J.D. Stasheff: Characteristic Classes, Ann. of Math. Studies, Princeton, 1974.

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  7. V. Oproiu, Some non-embedding theorems for the Grassmann manifolds G2,n and G3,n, Proc.Edinburgh Math. Soc. 20 (1976–77), 177–185.

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  8. H. Schubert: Kalkül der abzählenden Geometrie, Teubner, Leipzig, 1879.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, 47405, Bloomington, Indiana

    Jan Jaworowski

Authors
  1. Jan Jaworowski
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Stefan Jackowski Bob Oliver Krzystof Pawałowski

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© 1991 Springer-Verlag

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Jaworowski, J. (1991). An additive basis for the cohomology of real Grassmannians. In: Jackowski, S., Oliver, B., Pawałowski, K. (eds) Algebraic Topology Poznań 1989. Lecture Notes in Mathematics, vol 1474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084749

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  • DOI: https://doi.org/10.1007/BFb0084749

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54098-4

  • Online ISBN: 978-3-540-47403-6

  • eBook Packages: Springer Book Archive

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