Skip to main content

Evaluation of some Maunder cohomology operations

Part of the Lecture Notes in Mathematics book series (LNM,volume 597)

Keywords

  • Projective Space
  • Chain Complex
  • Secondary Operation
  • Binomial Coefficient
  • Chern Character

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math. 72(1960), 20–104.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. J. F. Adams, On Chern characters and the structure of the unitary group, Proc. Camb. Phil. Soc. 57(1961), 189–208.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. J. F. Adams, Vector fields on spheres, Ann. of Math. 75(1962), 603–632.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. J. F. Adams and G. Walker, On complex Stiefel manifolds, Proc. Camb. Phil. Soc. 61(1965), 81–103.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. J. Adem and S. Gitler, Secondary characteristic classes and the immersion problem, Bol. Soc. Mat. Mexicana 8(1963), 53–78.

    MathSciNet  MATH  Google Scholar 

  6. J. Adem and S. Gitler, Non-immersion theorems for real projective spaces, Bol. Soc. Mat. Mexicana 9(1964), 37–49.

    MathSciNet  MATH  Google Scholar 

  7. M. F. Atiyah and J. A. Todd, On complex Stiefel manifolds, Proc. Camb. Phil. Soc. 56(1960), 342–353.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. M. F. Atiyah, Thom complexes, Proc. London Math. Soc. (3) 11 (1961), 291–310.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. A. García-Máynez, Sobre algunas identidades de Jensen y Gould, Bol. Soc. Mat. Mexicana 14(1969), 70–74.

    Google Scholar 

  10. S. Gitler, M. Mahowald and R. J. Milgram, Secondary cohomology operations and complex vector bundles, Proc. Amer. Math. Soc. 22(1969), 223–229.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. S. Gitler and R. J. Milgram, Unstable divisibility of the Chern character, Bol. Soc. Mat. Mexicana 16(1971), 1–14.

    MathSciNet  MATH  Google Scholar 

  12. I. M. James, Spaces associated with Stiefel manifolds, Proc. London Math. Soc. (3) 9(1959), 115–140.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. C. R. F. Maunder, Cohomology operations of the Nth kind, Proc. London Math. Soc. (3) 13(1963), 125–154.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. C. R. F. Maunder, Chern characters and higher-order cohomology operations, Proc. Camb. Phil. Soc. 60(1964), 751–764.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. F. P. Peterson and N. Stein, The dual of a secondary cohomology operation, Illinois J. Math., 4(1960), 397–404.

    MathSciNet  MATH  Google Scholar 

  16. D. Phee Hurley, Una familia de operaciones cohomológicas de orden superior, Doctoral dissertation, Centro de Investigación del IPN, 1973.

    Google Scholar 

  17. E. H. Spanier and J. H. C. Whitehead, Duality in homotopy theory, Mathematika, 2(1955), 56–80.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1977 Springer-Verlag

About this paper

Cite this paper

Adem, J., Lam, K.Y. (1977). Evaluation of some Maunder cohomology operations. In: Palis, J., do Carmo, M. (eds) Geometry and Topology. Lecture Notes in Mathematics, vol 597. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085345

Download citation

  • DOI: https://doi.org/10.1007/BFb0085345

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08345-0

  • Online ISBN: 978-3-540-37301-8

  • eBook Packages: Springer Book Archive