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References
J. F. Adams, "On the cobar construction", Colloque de topologie algébrique, Louvain, (1956), pp. 81–87.
J. F. Adams and P. J. Hilton, "On the Chain algebra of a loop space", Comm. Math. Helv. Vol. 30, (1956), pp. 305–330.
Kuo-Tsai Chen, "Iterated integrals of differential forms and loop-space homology", Ann. of Math., Vol. 97 (1973), pp. 217–246.
Kuo-Tsai Chen, "Iterated path integrals", Bulletin of the Am. Math. Soc. (1977) (to appear).
Kuo-Tsai Chen, "Pullback de Rham Cohomology of the Free Path Fibration" (to appear).
S. Eilenberg and J. C. Moore, "Homology and fibrations I," Comm. Math. Helv. 40 (1966), pp. 398–413.
V.K.A.M. Gugenheim, "On Chen's Iterated Integrals", Ill. J. of Math. (to appear).
V.K.A.M. Gugenheim, "On the Multiplicative Structure of the de Rham Cohomology of Induced Fibrations", Ill. J. of Math. (to appear).
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).
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.
D. Husemoller, J. C. Moore, J. Stasheff, "Differential Homological Algebra and Homogeneous Spaces", J. of Pure and Applied Algebra, (1974), pp. 113–185.
D. G. Quillen, "An application of simplicial profinite groups", Comm. Math. Helv. 44, (1969), pp. 45–60.
Rimhak Ree, "Lie elements and an Algebra associated with shuffles", Ann. of Math., Vol. 68, (1958), pp. 210–220.
L. Smith, "Homological Algebra and the Eilenberg Moore spectral sequence", Trans. Am. Math. Soc., 129 (1967), pp. 58–93.
E. C. Zeeman, "A proof of the comparison theorem for spectral sequences", Proc. Cambridge Phil. Soc. 53, part 1, (1957), pp. 57–62.
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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
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DOI: https://doi.org/10.1007/BFb0068716
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