Skip to main content

Mod 2 homotopy-associative H-spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 657)

Keywords

  • Hopf Algebra
  • Spectral Sequence
  • Homotopy Type
  • Homotopy Group
  • Hopf Algebra Structure

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   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
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.

Bibliography

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. J. R. Harper, Stable Secondary Cohomology Operations. Comment. Math. Helv., vol. 44, fasc. 3 (1969), 341–353.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. _____, On the cohomology of stable two-stage Postnikov systems. Bull. Amer. Math. Soc. 76 (1970, 807–809; Trans. Amer. Math. Soc. 152 (1970), 375–388.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. W. S. Massey and F. P. Peterson, The mod 2 cohomology structure of certain fibre spaces. Mem. Amer. Math. Soc. No. 74 (1967).

    Google Scholar 

  5. M. Mimura, The homotopy groups of Lie groups of low rank. J. Math. Kyoto Univ. 6 (1967), 131–176.

    MathSciNet  MATH  Google Scholar 

  6. F. P. Peterson and N. Stein, Secondary cohomology operations: two formulas. Amer. J. Math. 81 (1959), 281–305.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. L. Smith, Lectures on the Eilenberg-Moore spectral sequence. Lecture Notes in Mathematics #134, Springer-Verlag (Princeton, NJ).

    Google Scholar 

  8. J. D. Stasheff, Homotopy associativity of H-spaces, I. Trans. Amer. Math. Soc. 108 (1963), 275–292.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. _____, Homotopy associativity of H-spaces, II. Trans. Amer. Math. Soc. 108 (1973), 293–312.

    MathSciNet  MATH  Google Scholar 

  10. H. Toda, Composition Mathods in Homotopy Groups of Spheres. Princeton Univ. Press (1962).

    Google Scholar 

  11. H-Spaces Neuchâtel (Suisse), Août 1970. Lecture Notes in Mathematics. Springer-Verlag.

    Google Scholar 

  12. Kachi, H., Homotopy Groups of Compact Lie Groups E6, E7, E8. Nagoya Math. J. 32 (1963), 109–140.

    CrossRef  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this chapter

Cite this chapter

Goncalves, D.L. (1978). Mod 2 homotopy-associative H-spaces. In: Barratt, M.G., Mahowald, M.E. (eds) Geometric Applications of Homotopy Theory I. Lecture Notes in Mathematics, vol 657. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069236

Download citation

  • DOI: https://doi.org/10.1007/BFb0069236

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08858-5

  • Online ISBN: 978-3-540-35809-1

  • eBook Packages: Springer Book Archive