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REFERENCES
J. Adams, “On the non-existence of elements of Hopf invariant one,” Ann. Math., 72, 20–104 (1960).
H. Baues, “The double bar and cobar construction,” Compos. Math., 43, 331–341 (1981).
N. Berikashvili, “On the differentials of spectral sequences,” Proc. Tbilis. Math. Inst., 51, 1–105 (1976).
E. Brown, “Twisted tensor products,” Ann. Math., 69, 223–246 (1959).
M. Gerstenhaber, “On the deformations of rings and algebras,” Ann. Math., 79,No. 1, 59–103 (1964).
M. Gerstenhaber and A. Voronov, “Higher-order operations on the Hochschild complex,” Funkts. Anal. Prilozh., 29,No. 1, 1–6 (1995).
E. Getzler and J. D. Jones, Operads, homotopy algebra, and iterated integrals for double loop spaces, Preprint.
V. K. A. M. Gugenheim and J. D. Stasheff, “On perturbations and A(∞)-algebras,” Bull. Soc. Math. Belg., 38 (1986).
S. Halperin and J. D. Stasheff, “Obstructions to homotopy equivalences,” Adv. Math., 32, 233–279 (1979).
J. Huebschmann, “Berikashvili's functor D and the deformation equation,” Proc. Tbilis. Math. Inst., 119, 59–72 (1999).
T. Kadeishvili, “On the homology theory of fibrations,” Bull. Georg. Acad. Sci., 77,No. 2 (1975).
T. Kadeishvili, “On the homology theory of fibrations,” Russ. Math. Surv., 35,No. 3, 231–238 (1980).
T. Kadeishvili, “The A(∞)-algebra structure and cohomology of Hochschild and Harrison,” Proc. Tbilis. Math. Inst., 91, 19–27 (1988).
T. Kadeishvili, “A(∞)-algebra structure in cohomology and rational homotopy type,” Proc. Tbilis. Mat. Inst., 107, 1–94 (1993).
T. Kadeishvili and S. Saneblidze, “On a multiplicative model of a fibration,” Bull. Georg. Acad. Sci., 153, 345–346 (1996).
L. Khelaia, “On some chain operations,” Bull. Georg. Acad. Sci., 96,No. 3, 529–531 (1979).
H. J. Munkholm, “The Eilenberg-Moore spectral sequence and strongly homotopy multiplicative maps,” J. Pure Appl. Algebra, 5, 1–50 (1974).
A. Prute, A(∞)-structures, modele minimal de Baues-Lemaire et homologie des fibrations, Preprint.
V. Smirnov, “Homology of fiber spaces,” Russ. Math. Surv., 35,No. 3, 294–298 (1980).
J. D. Stasheff, “Homotopy associativity of H-spaces, I, II,” Trans. Am. Math. Soc., 108, 275–312 (1963).
J. D. Stasheff, “The intrinsic bracket on deformation complex of an associative algebra,” J. Pure Appl. Algebra, 89,No. 1–2, 231–235 (1993).
B. Ndombol and J.-C. Thomas, Products in the Hochschild homology of spaces, Preprint (1998).
A. Voronov, Homotopy Gerstenhaber algebras, Preprint QA/9908040.
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Kadeishvili, T. Measuring the Noncommutativity of DG-Algebras. Journal of Mathematical Sciences 119, 494–512 (2004). https://doi.org/10.1023/B:JOTH.0000009373.66600.b4
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DOI: https://doi.org/10.1023/B:JOTH.0000009373.66600.b4