On a modified eilenberg-moore theorem

  • V. K. A. M. Gugenheim
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 658)

Keywords

Commutative Diagram Spectral Sequence Iterate Integral Profinite Group Constant Path 
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References

  1. [1]
    J. F. Adams, "On the cobar construction", Colloque de topologie algébrique, Louvain, (1956), pp. 81–87.Google Scholar
  2. [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.MathSciNetCrossRefMATHGoogle Scholar
  3. [3]
    Kuo-Tsai Chen, "Iterated integrals of differential forms and loop-space homology", Ann. of Math., Vol. 97 (1973), pp. 217–246.MathSciNetCrossRefMATHGoogle Scholar
  4. [4]
    Kuo-Tsai Chen, "Iterated path integrals", Bulletin of the Am. Math. Soc. (1977) (to appear).Google Scholar
  5. [5]
    Kuo-Tsai Chen, "Pullback de Rham Cohomology of the Free Path Fibration" (to appear).Google Scholar
  6. [6]
    S. Eilenberg and J. C. Moore, "Homology and fibrations I," Comm. Math. Helv. 40 (1966), pp. 398–413.MathSciNetMATHGoogle Scholar
  7. [7]
    V.K.A.M. Gugenheim, "On Chen's Iterated Integrals", Ill. J. of Math. (to appear).Google Scholar
  8. [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. [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. [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. [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. [12]
    D. G. Quillen, "An application of simplicial profinite groups", Comm. Math. Helv. 44, (1969), pp. 45–60.MathSciNetCrossRefMATHGoogle Scholar
  13. [13]
    Rimhak Ree, "Lie elements and an Algebra associated with shuffles", Ann. of Math., Vol. 68, (1958), pp. 210–220.MathSciNetCrossRefMATHGoogle Scholar
  14. [14]
    L. Smith, "Homological Algebra and the Eilenberg Moore spectral sequence", Trans. Am. Math. Soc., 129 (1967), pp. 58–93.MathSciNetCrossRefMATHGoogle Scholar
  15. [15]
    E. C. Zeeman, "A proof of the comparison theorem for spectral sequences", Proc. Cambridge Phil. Soc. 53, part 1, (1957), pp. 57–62.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • V. K. A. M. Gugenheim
    • 1
  1. 1.University of Illinois at Chicago CircleUSA

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