Skip to main content

On a modified eilenberg-moore theorem

  • 578 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 658)

Keywords

  • Commutative Diagram
  • Spectral Sequence
  • Iterate Integral
  • Profinite Group
  • Constant Path

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.

References

  1. J. F. Adams, "On the cobar construction", Colloque de topologie algébrique, Louvain, (1956), pp. 81–87.

    Google Scholar 

  2. J. F. Adams and P. J. Hilton, "On the Chain algebra of a loop space", Comm. Math. Helv. Vol. 30, (1956), pp. 305–330.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Kuo-Tsai Chen, "Iterated integrals of differential forms and loop-space homology", Ann. of Math., Vol. 97 (1973), pp. 217–246.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Kuo-Tsai Chen, "Iterated path integrals", Bulletin of the Am. Math. Soc. (1977) (to appear).

    Google Scholar 

  5. Kuo-Tsai Chen, "Pullback de Rham Cohomology of the Free Path Fibration" (to appear).

    Google Scholar 

  6. S. Eilenberg and J. C. Moore, "Homology and fibrations I," Comm. Math. Helv. 40 (1966), pp. 398–413.

    MathSciNet  MATH  Google Scholar 

  7. V.K.A.M. Gugenheim, "On Chen's Iterated Integrals", Ill. J. of Math. (to appear).

    Google Scholar 

  8. V.K.A.M. Gugenheim, "On the Multiplicative Structure of the de Rham Cohomology of Induced Fibrations", Ill. J. of Math. (to appear).

    Google Scholar 

  9. V.K.A.M. Gugenheim and J. Peter May, "On the Theory and Applications of Differential Torsion Products", Memoirs of the Am. Math. Soc., 142 (1974).

    Google Scholar 

  10. V.K.A.M. Gugenheim and H. J. Munkholm, "On the extended functoriality of Tor and Cotor", J. of Pure and Applied Algebra, (1974), pp. 9–29.

    Google Scholar 

  11. D. Husemoller, J. C. Moore, J. Stasheff, "Differential Homological Algebra and Homogeneous Spaces", J. of Pure and Applied Algebra, (1974), pp. 113–185.

    Google Scholar 

  12. D. G. Quillen, "An application of simplicial profinite groups", Comm. Math. Helv. 44, (1969), pp. 45–60.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Rimhak Ree, "Lie elements and an Algebra associated with shuffles", Ann. of Math., Vol. 68, (1958), pp. 210–220.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. L. Smith, "Homological Algebra and the Eilenberg Moore spectral sequence", Trans. Am. Math. Soc., 129 (1967), pp. 58–93.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. E. C. Zeeman, "A proof of the comparison theorem for spectral sequences", Proc. Cambridge Phil. Soc. 53, part 1, (1957), pp. 57–62.

    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

© 1978 Springer-Verlag

About this paper

Cite this paper

Gugenheim, V.K.A.M. (1978). On a modified eilenberg-moore theorem. In: Barratt, M.G., Mahowald, M.E. (eds) Geometric Applications of Homotopy Theory II. Lecture Notes in Mathematics, vol 658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068716

Download citation

  • DOI: https://doi.org/10.1007/BFb0068716

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08859-2

  • Online ISBN: 978-3-540-35808-4

  • eBook Packages: Springer Book Archive